Multiples of 50

Multiples of 50 are numbers obtained by multiplying 50 with integers. These numbers form a sequence in arithmetic progression, starting from 50, 100, 150, and so on. In mathematics, multiples are derived by using multiplication and the divisors of these numbers include 50 and its factors. Understanding multiples of 50 helps in grasping concepts related to integers, divisors, and factors, essential in number theory.

What are Multiples of 50?

Multiples of 50 are numbers that result from multiplying 50 by any integer. These multiples include 50, 100, 150, and so on. Each multiple of 50 can be expressed as 50n, where n is an integer.

Prime Factorization of 50: 2 x 5 x 5 First 10 Multiples of 50 are 50, 100, 150, 200, 250, 300, 350, 400, 450, 500.

For example, 150, 250, 300 and 450 are all multiples of 50, 613 is not a multiple of 50 for the following reasons:

Number	Reason	Remainder
150	150 is a multiple of 50 because 50 × 3 = 150	0
250	250 is a multiple of 50 because 50 × 5 = 250	0
300	300 is a multiple of 50 because 50 × 6 = 300	0
450	450 is a multiple of 50 because 50 × 9 = 450	0
613	613 is not a multiple of 50 because 613 ÷ 50 = 12 with a remainder of 13	13

List of First 100 Multiples of 50 with Remainders

Number	Reason	Remainder
50	50 is a multiple of 50 because 50 × 1 = 50	0
100	100 is a multiple of 50 because 50 × 2 = 100	0
150	150 is a multiple of 50 because 50 × 3 = 150	0
200	200 is a multiple of 50 because 50 × 4 = 200	0
250	250 is a multiple of 50 because 50 × 5 = 250	0
300	300 is a multiple of 50 because 50 × 6 = 300	0
350	350 is a multiple of 50 because 50 × 7 = 350	0
400	400 is a multiple of 50 because 50 × 8 = 400	0
450	450 is a multiple of 50 because 50 × 9 = 450	0
500	500 is a multiple of 50 because 50 × 10 = 500	0
550	550 is a multiple of 50 because 50 × 11 = 550	0
600	600 is a multiple of 50 because 50 × 12 = 600	0
650	650 is a multiple of 50 because 50 × 13 = 650	0
700	700 is a multiple of 50 because 50 × 14 = 700	0
750	750 is a multiple of 50 because 50 × 15 = 750	0
800	800 is a multiple of 50 because 50 × 16 = 800	0
850	850 is a multiple of 50 because 50 × 17 = 850	0
900	900 is a multiple of 50 because 50 × 18 = 900	0
950	950 is a multiple of 50 because 50 × 19 = 950	0
1000	1000 is a multiple of 50 because 50 × 20 = 1000	0
1050	1050 is a multiple of 50 because 50 × 21 = 1050	0
1100	1100 is a multiple of 50 because 50 × 22 = 1100	0
1150	1150 is a multiple of 50 because 50 × 23 = 1150	0
1200	1200 is a multiple of 50 because 50 × 24 = 1200	0
1250	1250 is a multiple of 50 because 50 × 25 = 1250	0
1300	1300 is a multiple of 50 because 50 × 26 = 1300	0
1350	1350 is a multiple of 50 because 50 × 27 = 1350	0
1400	1400 is a multiple of 50 because 50 × 28 = 1400	0
1450	1450 is a multiple of 50 because 50 × 29 = 1450	0
1500	1500 is a multiple of 50 because 50 × 30 = 1500	0
1550	1550 is a multiple of 50 because 50 × 31 = 1550	0
1600	1600 is a multiple of 50 because 50 × 32 = 1600	0
1650	1650 is a multiple of 50 because 50 × 33 = 1650	0
1700	1700 is a multiple of 50 because 50 × 34 = 1700	0
1750	1750 is a multiple of 50 because 50 × 35 = 1750	0
1800	1800 is a multiple of 50 because 50 × 36 = 1800	0
1850	1850 is a multiple of 50 because 50 × 37 = 1850	0
1900	1900 is a multiple of 50 because 50 × 38 = 1900	0
1950	1950 is a multiple of 50 because 50 × 39 = 1950	0
2000	2000 is a multiple of 50 because 50 × 40 = 2000	0
2050	2050 is a multiple of 50 because 50 × 41 = 2050	0
2100	2100 is a multiple of 50 because 50 × 42 = 2100	0
2150	2150 is a multiple of 50 because 50 × 43 = 2150	0
2200	2200 is a multiple of 50 because 50 × 44 = 2200	0
2250	2250 is a multiple of 50 because 50 × 45 = 2250	0
2300	2300 is a multiple of 50 because 50 × 46 = 2300	0
2350	2350 is a multiple of 50 because 50 × 47 = 2350	0
2400	2400 is a multiple of 50 because 50 × 48 = 2400	0
2450	2450 is a multiple of 50 because 50 × 49 = 2450	0
2500	2500 is a multiple of 50 because 50 × 50 = 2500	0
2550	2550 is a multiple of 50 because 50 × 51 = 2550	0
2600	2600 is a multiple of 50 because 50 × 52 = 2600	0
2650	2650 is a multiple of 50 because 50 × 53 = 2650	0
2700	2700 is a multiple of 50 because 50 × 54 = 2700	0
2750	2750 is a multiple of 50 because 50 × 55 = 2750	0
2800	2800 is a multiple of 50 because 50 × 56 = 2800	0
2850	2850 is a multiple of 50 because 50 × 57 = 2850	0
2900	2900 is a multiple of 50 because 50 × 58 = 2900	0
2950	2950 is a multiple of 50 because 50 × 59 = 2950	0
3000	3000 is a multiple of 50 because 50 × 60 = 3000	0
3050	3050 is a multiple of 50 because 50 × 61 = 3050	0
3100	3100 is a multiple of 50 because 50 × 62 = 3100	0
3150	3150 is a multiple of 50 because 50 × 63 = 3150	0
3200	3200 is a multiple of 50 because 50 × 64 = 3200	0
3250	3250 is a multiple of 50 because 50 × 65 = 3250	0
3300	3300 is a multiple of 50 because 50 × 66 = 3300	0
3350	3350 is a multiple of 50 because 50 × 67 = 3350	0
3400	3400 is a multiple of 50 because 50 × 68 = 3400	0
3450	3450 is a multiple of 50 because 50 × 69 = 3450	0
3500	3500 is a multiple of 50 because 50 × 70 = 3500	0
3550	3550 is a multiple of 50 because 50 × 71 = 3550	0
3600	3600 is a multiple of 50 because 50 × 72 = 3600	0
3650	3650 is a multiple of 50 because 50 × 73 = 3650	0
3700	3700 is a multiple of 50 because 50 × 74 = 3700	0
3750	3750 is a multiple of 50 because 50 × 75 = 3750	0
3800	3800 is a multiple of 50 because 50 × 76 = 3800	0
3850	3850 is a multiple of 50 because 50 × 77 = 3850	0
3900	3900 is a multiple of 50 because 50 × 78 = 3900	0
3950	3950 is a multiple of 50 because 50 × 79 = 3950	0
4000	4000 is a multiple of 50 because 50 × 80 = 4000	0
4050	4050 is a multiple of 50 because 50 × 81 = 4050	0
4100	4100 is a multiple of 50 because 50 × 82 = 4100	0
4150	4150 is a multiple of 50 because 50 × 83 = 4150	0
4200	4200 is a multiple of 50 because 50 × 84 = 4200	0
4250	4250 is a multiple of 50 because 50 × 85 = 4250	0
4300	4300 is a multiple of 50 because 50 × 86 = 4300	0
4350	4350 is a multiple of 50 because 50 × 87 = 4350	0
4400	4400 is a multiple of 50 because 50 × 88 = 4400	0
4450	4450 is a multiple of 50 because 50 × 89 = 4450	0
4500	4500 is a multiple of 50 because 50 × 90 = 4500	0
4550	4550 is a multiple of 50 because 50 × 91 = 4550	0
4600	4600 is a multiple of 50 because 50 × 92 = 4600	0
4650	4650 is a multiple of 50 because 50 × 93 = 4650	0
4700	4700 is a multiple of 50 because 50 × 94 = 4700	0
4750	4750 is a multiple of 50 because 50 × 95 = 4750	0
4800	4800 is a multiple of 50 because 50 × 96 = 4800	0
4850	4850 is a multiple of 50 because 50 × 97 = 4850	0
4900	4900 is a multiple of 50 because 50 × 98 = 4900	0
4950	4950 is a multiple of 50 because 50 × 99 = 4950	0
5000	5000 is a multiple of 50 because 50 × 100 = 5000	0

Read More About Multiples of 50

Table of 50

Important Notes

Definition

Multiples of 50 are numbers that can be expressed as 50 times any integer (e.g., 50, 100, 150).

Sequence

The sequence of multiples of 50 begins with 50, 100, 150, 200, 250, and continues infinitely by adding 50 repeatedly.

Divisibility

Any multiple of 50 is divisible by both 50 and its factors, such as 1, 2, 5, 10, 25, and 50.

Calculation

To find the nth multiple of 50, multiply 50 by n (e.g., the 5th multiple of 50 is 50 x 5 = 250).

Patterns

Multiples of 50 end in either 00 or 50, reflecting the fact that 50 is a multiple of both 10 and 5.

Examples on Multiples of 50

Simple Multiples of 50

• 50: 2×25 = 50
• 100: 2×50 = 100
• 150: 3×50 = 150
• 200: 4×50 = 200
• 250: 5×50 = 250

Larger Multiples of 50

• 500: 10×50 = 500
• 1,000: 20×50 = 1,000
• 1,500: 30×50 = 1,500
• 2,000: 40×50 = 2,000
• 2,500: 50×50 = 2,500

Real-Life Examples of Multiples of 50

• Time: 150 minutes is a multiple of 50 because 50×3 = 150.
• Money: $200 is a multiple of 50 because 50×4 = 200.
• Distance: 250 miles is a multiple of 50 because 50×5 = 250.
• Weight: 500 pounds is a multiple of 50 because 50×10 = 500.
• Volume: 1,000 liters is a multiple of 50 because 50×20 = 1,000.

Practical Examples of Multiples of 50

What is the 15th multiple of 50?

The 15th multiple of 50 is 50×15 = 750.

Is 250 a multiple of 50?

Yes, 250 is a multiple of 50 because 50×5 = 250.

What is the next multiple of 50 after 350?

The next multiple of 50 after 350 is 350+50 = 400.

Find the 25th multiple of 50.

The 25th multiple of 50 is 50×25 = 1,250.

Is 1,073 a multiple of 50?

No, 1,073 is not a multiple of 50 because it cannot be evenly divided by 50.

FAQs