Multiples of 25

Multiples of 25 are numbers that can be expressed as $\mathrm{25\times n}$, where $n$ is an integer. These multiples are obtained through multiplication of 25 with whole numbers such as 1, 2, 3, and so on. In mathematics, the divisors of each multiple include 25 and its other factors. Multiples of 25 play a significant role in understanding number patterns and arithmetic operations.

What are Multiples of 25?

Multiples of 25 are numbers that result from multiplying 25 by an integer. They can be expressed in the form 25×n, where n is any whole number. Examples include 25, 50, 75, and 100.

Prime Factorization of 25: 5 × 5 First 10 multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250.

For example, 75, 125, 150 and 225 are all multiples of 25, 352 is not a multiple of 25 for the following reasons:

Number	Calculation	Reason	Remainder
75	75÷25 = 3	75 is a multiple of 25 because it divides evenly.	0
125	125÷25 = 5	125 is a multiple of 25 because it divides evenly.	0
150	150÷25 = 6	150 is a multiple of 25 because it divides evenly.	0
225	225÷25 = 9	225 is a multiple of 25 because it divides evenly.	0
352	352÷25 = 14	352 is not a multiple of 25 because it does not divide evenly.	2

List of First 100 Multiples of 25 with Remainders

Number	Reason	Remainder
25	25 is a multiple of 25 because 25 × 1 = 25	0
50	50 is a multiple of 25 because 25 × 2 = 50	0
75	75 is a multiple of 25 because 25 × 3 = 75	0
100	100 is a multiple of 25 because 25 × 4 = 100	0
125	125 is a multiple of 25 because 25 × 5 = 125	0
150	150 is a multiple of 25 because 25 × 6 = 150	0
175	175 is a multiple of 25 because 25 × 7 = 175	0
200	200 is a multiple of 25 because 25 × 8 = 200	0
225	225 is a multiple of 25 because 25 × 9 = 225	0
250	250 is a multiple of 25 because 25 × 10 = 250	0
275	275 is a multiple of 25 because 25 × 11 = 275	0
300	300 is a multiple of 25 because 25 × 12 = 300	0
325	325 is a multiple of 25 because 25 × 13 = 325	0
350	350 is a multiple of 25 because 25 × 14 = 350	0
375	375 is a multiple of 25 because 25 × 15 = 375	0
400	400 is a multiple of 25 because 25 × 16 = 400	0
425	425 is a multiple of 25 because 25 × 17 = 425	0
450	450 is a multiple of 25 because 25 × 18 = 450	0
475	475 is a multiple of 25 because 25 × 19 = 475	0
500	500 is a multiple of 25 because 25 × 20 = 500	0
525	525 is a multiple of 25 because 25 × 21 = 525	0
550	550 is a multiple of 25 because 25 × 22 = 550	0
575	575 is a multiple of 25 because 25 × 23 = 575	0
600	600 is a multiple of 25 because 25 × 24 = 600	0
625	625 is a multiple of 25 because 25 × 25 = 625	0
650	650 is a multiple of 25 because 25 × 26 = 650	0
675	675 is a multiple of 25 because 25 × 27 = 675	0
700	700 is a multiple of 25 because 25 × 28 = 700	0
725	725 is a multiple of 25 because 25 × 29 = 725	0
750	750 is a multiple of 25 because 25 × 30 = 750	0
775	775 is a multiple of 25 because 25 × 31 = 775	0
800	800 is a multiple of 25 because 25 × 32 = 800	0
825	825 is a multiple of 25 because 25 × 33 = 825	0
850	850 is a multiple of 25 because 25 × 34 = 850	0
875	875 is a multiple of 25 because 25 × 35 = 875	0
900	900 is a multiple of 25 because 25 × 36 = 900	0
925	925 is a multiple of 25 because 25 × 37 = 925	0
950	950 is a multiple of 25 because 25 × 38 = 950	0
975	975 is a multiple of 25 because 25 × 39 = 975	0
1000	1000 is a multiple of 25 because 25 × 40 = 1000	0
1025	1025 is a multiple of 25 because 25 × 41 = 1025	0
1050	1050 is a multiple of 25 because 25 × 42 = 1050	0
1075	1075 is a multiple of 25 because 25 × 43 = 1075	0
1100	1100 is a multiple of 25 because 25 × 44 = 1100	0
1125	1125 is a multiple of 25 because 25 × 45 = 1125	0
1150	1150 is a multiple of 25 because 25 × 46 = 1150	0
1175	1175 is a multiple of 25 because 25 × 47 = 1175	0
1200	1200 is a multiple of 25 because 25 × 48 = 1200	0
1225	1225 is a multiple of 25 because 25 × 49 = 1225	0
1250	1250 is a multiple of 25 because 25 × 50 = 1250	0
1275	1275 is a multiple of 25 because 25 × 51 = 1275	0
1300	1300 is a multiple of 25 because 25 × 52 = 1300	0
1325	1325 is a multiple of 25 because 25 × 53 = 1325	0
1350	1350 is a multiple of 25 because 25 × 54 = 1350	0
1375	1375 is a multiple of 25 because 25 × 55 = 1375	0
1400	1400 is a multiple of 25 because 25 × 56 = 1400	0
1425	1425 is a multiple of 25 because 25 × 57 = 1425	0
1450	1450 is a multiple of 25 because 25 × 58 = 1450	0
1475	1475 is a multiple of 25 because 25 × 59 = 1475	0
1500	1500 is a multiple of 25 because 25 × 60 = 1500	0
1525	1525 is a multiple of 25 because 25 × 61 = 1525	0
1550	1550 is a multiple of 25 because 25 × 62 = 1550	0
1575	1575 is a multiple of 25 because 25 × 63 = 1575	0
1600	1600 is a multiple of 25 because 25 × 64 = 1600	0
1625	1625 is a multiple of 25 because 25 × 65 = 1625	0
1650	1650 is a multiple of 25 because 25 × 66 = 1650	0
1675	1675 is a multiple of 25 because 25 × 67 = 1675	0
1700	1700 is a multiple of 25 because 25 × 68 = 1700	0
1725	1725 is a multiple of 25 because 25 × 69 = 1725	0
1750	1750 is a multiple of 25 because 25 × 70 = 1750	0
1775	1775 is a multiple of 25 because 25 × 71 = 1775	0
1800	1800 is a multiple of 25 because 25 × 72 = 1800	0
1825	1825 is a multiple of 25 because 25 × 73 = 1825	0
1850	1850 is a multiple of 25 because 25 × 74 = 1850	0
1875	1875 is a multiple of 25 because 25 × 75 = 1875	0
1900	1900 is a multiple of 25 because 25 × 76 = 1900	0
1925	1925 is a multiple of 25 because 25 × 77 = 1925	0
1950	1950 is a multiple of 25 because 25 × 78 = 1950	0
1975	1975 is a multiple of 25 because 25 × 79 = 1975	0
2000	2000 is a multiple of 25 because 25 × 80 = 2000	0
2025	2025 is a multiple of 25 because 25 × 81 = 2025	0
2050	2050 is a multiple of 25 because 25 × 82 = 2050	0
2075	2075 is a multiple of 25 because 25 × 83 = 2075	0
2100	2100 is a multiple of 25 because 25 × 84 = 2100	0
2125	2125 is a multiple of 25 because 25 × 85 = 2125	0
2150	2150 is a multiple of 25 because 25 × 86 = 2150	0
2175	2175 is a multiple of 25 because 25 × 87 = 2175	0
2200	2200 is a multiple of 25 because 25 × 88 = 2200	0
2225	2225 is a multiple of 25 because 25 × 89 = 2225	0
2250	2250 is a multiple of 25 because 25 × 90 = 2250	0
2275	2275 is a multiple of 25 because 25 × 91 = 2275	0
2300	2300 is a multiple of 25 because 25 × 92 = 2300	0
2325	2325 is a multiple of 25 because 25 × 93 = 2325	0
2350	2350 is a multiple of 25 because 25 × 94 = 2350	0
2375	2375 is a multiple of 25 because 25 × 95 = 2375	0
2400	2400 is a multiple of 25 because 25 × 96 = 2400	0
2425	2425 is a multiple of 25 because 25 × 97 = 2425	0
2450	2450 is a multiple of 25 because 25 × 98 = 2450	0
2475	2475 is a multiple of 25 because 25 × 99 = 2475	0
2500	2500 is a multiple of 25 because 25 × 100 = 2500	0

Read More About Multiples of 25

Table of 25

Important Notes

Definition of Multiples

• Multiples of 25 are the results of multiplying 25 by whole numbers.
• Mathematically, they can be represented as 25×n, where n is an integer.

2. First Few Multiples of 25

The first few multiples of 25 are:

• 25 × 1 = 25
• 25 × 2 = 50
• 25 × 3 = 75
• 25 × 4 = 100
• 25 × 5 = 125
• 25 × 6 = 150
• 25 × 7 = 175
• 25 × 8 = 200
• 25 × 9 = 225
• 25 × 10 = 250

3. Patterns in Multiples of 25

• Regular Intervals: Each multiple of 25 is exactly 25 more than the previous multiple.
• End Digits: Multiples of 25 end in 00, 25, 50, or 75.

4. Real-life Applications

• Currency: Multiples of 25 are commonly used in money transactions, especially in denominations like quarters (25 cents) in the US.
• Measurement Units: Multiples of 25 are used in various measurement units, such as in packages of goods or intervals of measurement.

5. Identifying Multiples of 25

• Divisibility Rule: A number is a multiple of 25 if its last two digits form a number that is divisible by 25.
• Quick Check: For example, 375 ends in 75, which is divisible by 25, so 375 is a multiple of 25.

Examples on Multiples of 25

1. Finding the Cost of Multiple Items

Example: If each chair costs $25, how much would 8 chairs cost?

Total Cost = 25×8=200. The total cost for 8 chairs is $200.

2. Calculating Time Intervals

Example: A bus arrives at a bus stop every 25 minutes. If the first bus arrives at 7:00 AM, at what times will the next three buses arrive?

• First bus: 7:00 AM
• Second bus: 7:00+25 minutes = 7:25 AM
• Third bus: 7:25+25 minutes = 7:50 AM
• Fourth bus: 7:50+25 minutes = 8:15 AM

The next three buses will arrive at 7:25 AM, 7:50 AM, and 8:15 AM.

3. Multiplying to Find Large Quantities

Example: A factory produces 25 units of a product every hour. How many units are produced in a 10-hour workday?

Total Units = 25×10 = 250. The factory produces 250 units in a 10-hour workday.

4. Distributing Items Equally

Example: You have 100 candies and want to distribute them equally among 4 friends. How many candies does each friend get?

Candies per Friend = 100/4 = 25. Each friend gets 25 candies.

5. Calculating Discounts

Example: A store is offering a discount of $25 on every purchase of $100 or more. If you buy items worth $300, how much discount do you get?

Discount = ⌊300/100⌋×25 = 3×25 = 75. The total discount is $75.

6. Budgeting

Example: If you save $25 every week, how much money will you have saved after 1 year (52 weeks)?

Total Savings = 25×52 = 1300. You will have saved $1300 after 1 year.

7. Finding Common Multiples

Example: What is the least common multiple (LCM) of 25 and 50?

• Multiples of 25: 25, 50, 75, 100, …
• Multiples of 50: 50, 100, 150, …
• Common multiples: 50, 100, …

The least common multiple (LCM) of 25 and 50 is 50.

8. Scaling Recipes

Example: A recipe requires 25 grams of sugar per serving. How much sugar is needed for 6 servings?

Total Sugar = 25×6 = 150 grams. You need 150 grams of sugar for 6 servings.

9. Understanding Patterns

Example: If a pattern repeats every 25th term, what will be the 75th term in the pattern?

Since the pattern repeats every 25th term: 75÷25 = 3. The 75th term will be the same as the 25th term.

10. Project Planning

Example: A project manager allocates 25 hours per week to a project. How many hours will be spent on the project over 4 weeks?

Solution: Total Hours = 25×4 = 100 The project manager will spend 100 hours on the project over 4 weeks.

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