Multiples of 35

Multiples of 35 are the products obtained when 35 is multiplied by integers. These numbers form a sequence where each term is an integer multiple of 35, showcasing the relationship between multiplication and divisors. Understanding multiples helps in grasping key mathematical concepts such as factors and divisors. These multiples demonstrate how integer operations generate a series of numbers, each divisible by 35 without leaving a remainder.

What are Multiples of 35?

Multiples of 35 are the products obtained by multiplying 35 by any integer. Examples include 35, 70, 105, 140, and so on. These numbers follow the pattern 35n, where n is any integer.

Prime Factorization of 35: 5 × 7 First 10 Multiples of 35 are 35, 70, 105, 140, 175, 210, 245, 280, 315, 350.

For example, 105, 175, 280 and 315 are all multiples of 35, 402 is not a multiple of 35 for the following reasons:

Number	Calculation	Reason	Remainder
105	105÷35 = 3	105 is a multiple of 35 because it divides evenly.	0
175	175÷35 = 5	175 is a multiple of 35 because it divides evenly.	0
280	280÷35 = 8	280 is a multiple of 35 because it divides evenly.	0
315	315÷35 = 9	315 is a multiple of 35 because it divides evenly.	0
402	402÷35 = 11	402 is not a multiple of 35 because it does not divide evenly.	17

List of First 100 Multiples of 35 with Remainders

Number	Reason	Remainder
35	35 is a multiple of 35 because 35 × 1 = 35	0
70	70 is a multiple of 35 because 35 × 2 = 70	0
105	105 is a multiple of 35 because 35 × 3 = 105	0
140	140 is a multiple of 35 because 35 × 4 = 140	0
175	175 is a multiple of 35 because 35 × 5 = 175	0
210	210 is a multiple of 35 because 35 × 6 = 210	0
245	245 is a multiple of 35 because 35 × 7 = 245	0
280	280 is a multiple of 35 because 35 × 8 = 280	0
315	315 is a multiple of 35 because 35 × 9 = 315	0
350	350 is a multiple of 35 because 35 × 10 = 350	0
385	385 is a multiple of 35 because 35 × 11 = 385	0
420	420 is a multiple of 35 because 35 × 12 = 420	0
455	455 is a multiple of 35 because 35 × 13 = 455	0
490	490 is a multiple of 35 because 35 × 14 = 490	0
525	525 is a multiple of 35 because 35 × 15 = 525	0
560	560 is a multiple of 35 because 35 × 16 = 560	0
595	595 is a multiple of 35 because 35 × 17 = 595	0
630	630 is a multiple of 35 because 35 × 18 = 630	0
665	665 is a multiple of 35 because 35 × 19 = 665	0
700	700 is a multiple of 35 because 35 × 20 = 700	0
735	735 is a multiple of 35 because 35 × 21 = 735	0
770	770 is a multiple of 35 because 35 × 22 = 770	0
805	805 is a multiple of 35 because 35 × 23 = 805	0
840	840 is a multiple of 35 because 35 × 24 = 840	0
875	875 is a multiple of 35 because 35 × 25 = 875	0
910	910 is a multiple of 35 because 35 × 26 = 910	0
945	945 is a multiple of 35 because 35 × 27 = 945	0
980	980 is a multiple of 35 because 35 × 28 = 980	0
1015	1015 is a multiple of 35 because 35 × 29 = 1015	0
1050	1050 is a multiple of 35 because 35 × 30 = 1050	0
1085	1085 is a multiple of 35 because 35 × 31 = 1085	0
1120	1120 is a multiple of 35 because 35 × 32 = 1120	0
1155	1155 is a multiple of 35 because 35 × 33 = 1155	0
1190	1190 is a multiple of 35 because 35 × 34 = 1190	0
1225	1225 is a multiple of 35 because 35 × 35 = 1225	0
1260	1260 is a multiple of 35 because 35 × 36 = 1260	0
1295	1295 is a multiple of 35 because 35 × 37 = 1295	0
1330	1330 is a multiple of 35 because 35 × 38 = 1330	0
1365	1365 is a multiple of 35 because 35 × 39 = 1365	0
1400	1400 is a multiple of 35 because 35 × 40 = 1400	0
1435	1435 is a multiple of 35 because 35 × 41 = 1435	0
1470	1470 is a multiple of 35 because 35 × 42 = 1470	0
1505	1505 is a multiple of 35 because 35 × 43 = 1505	0
1540	1540 is a multiple of 35 because 35 × 44 = 1540	0
1575	1575 is a multiple of 35 because 35 × 45 = 1575	0
1610	1610 is a multiple of 35 because 35 × 46 = 1610	0
1645	1645 is a multiple of 35 because 35 × 47 = 1645	0
1680	1680 is a multiple of 35 because 35 × 48 = 1680	0
1715	1715 is a multiple of 35 because 35 × 49 = 1715	0
1750	1750 is a multiple of 35 because 35 × 50 = 1750	0
1785	1785 is a multiple of 35 because 35 × 51 = 1785	0
1820	1820 is a multiple of 35 because 35 × 52 = 1820	0
1855	1855 is a multiple of 35 because 35 × 53 = 1855	0
1890	1890 is a multiple of 35 because 35 × 54 = 1890	0
1925	1925 is a multiple of 35 because 35 × 55 = 1925	0
1960	1960 is a multiple of 35 because 35 × 56 = 1960	0
1995	1995 is a multiple of 35 because 35 × 57 = 1995	0
2030	2030 is a multiple of 35 because 35 × 58 = 2030	0
2065	2065 is a multiple of 35 because 35 × 59 = 2065	0
2100	2100 is a multiple of 35 because 35 × 60 = 2100	0
2135	2135 is a multiple of 35 because 35 × 61 = 2135	0
2170	2170 is a multiple of 35 because 35 × 62 = 2170	0
2205	2205 is a multiple of 35 because 35 × 63 = 2205	0
2240	2240 is a multiple of 35 because 35 × 64 = 2240	0
2275	2275 is a multiple of 35 because 35 × 65 = 2275	0
2310	2310 is a multiple of 35 because 35 × 66 = 2310	0
2345	2345 is a multiple of 35 because 35 × 67 = 2345	0
2380	2380 is a multiple of 35 because 35 × 68 = 2380	0
2415	2415 is a multiple of 35 because 35 × 69 = 2415	0
2450	2450 is a multiple of 35 because 35 × 70 = 2450	0
2485	2485 is a multiple of 35 because 35 × 71 = 2485	0
2520	2520 is a multiple of 35 because 35 × 72 = 2520	0
2555	2555 is a multiple of 35 because 35 × 73 = 2555	0
2590	2590 is a multiple of 35 because 35 × 74 = 2590	0
2625	2625 is a multiple of 35 because 35 × 75 = 2625	0
2660	2660 is a multiple of 35 because 35 × 76 = 2660	0
2695	2695 is a multiple of 35 because 35 × 77 = 2695	0
2730	2730 is a multiple of 35 because 35 × 78 = 2730	0
2765	2765 is a multiple of 35 because 35 × 79 = 2765	0
2800	2800 is a multiple of 35 because 35 × 80 = 2800	0
2835	2835 is a multiple of 35 because 35 × 81 = 2835	0
2870	2870 is a multiple of 35 because 35 × 82 = 2870	0
2905	2905 is a multiple of 35 because 35 × 83 = 2905	0
2940	2940 is a multiple of 35 because 35 × 84 = 2940	0
2975	2975 is a multiple of 35 because 35 × 85 = 2975	0
3010	3010 is a multiple of 35 because 35 × 86 = 3010	0
3045	3045 is a multiple of 35 because 35 × 87 = 3045	0
3080	3080 is a multiple of 35 because 35 × 88 = 3080	0
3115	3115 is a multiple of 35 because 35 × 89 = 3115	0
3150	3150 is a multiple of 35 because 35 × 90 = 3150	0
3185	3185 is a multiple of 35 because 35 × 91 = 3185	0
3220	3220 is a multiple of 35 because 35 × 92 = 3220	0
3255	3255 is a multiple of 35 because 35 × 93 = 3255	0
3290	3290 is a multiple of 35 because 35 × 94 = 3290	0
3325	3325 is a multiple of 35 because 35 × 95 = 3325	0
3360	3360 is a multiple of 35 because 35 × 96 = 3360	0
3395	3395 is a multiple of 35 because 35 × 97 = 3395	0
3430	3430 is a multiple of 35 because 35 × 98 = 3430	0
3465	3465 is a multiple of 35 because 35 × 99 = 3465	0
3500	3500 is a multiple of 35 because 35 × 100 = 3500	0

Read More About Multiples of 35

Table of 35

Important Notes

Understand Multiples:

• Multiples of a number are the products of that number with integers.
• For 35, the multiples are 35×n where n is an integer.

First Few Multiples:

• Calculate the first few multiples to recognize the pattern: 35×1 = 35, 35×2 = 70, 35×3 = 105, and so on.

Common Pattern:

• Observe that each multiple of 35 increases by 35: 35,70,105,140,…35, 70, 105, 140.
• General form: 35×n, where n is 1, 2, 3, etc.

Divisibility Rule:

• A number is a multiple of 35 if it is divisible by both 5 and 7 (since 35 = 5×7).
• Check for divisibility by both 5 and 7 to confirm.

Applications:

• Multiples of 35 can be useful in problems involving least common multiples, scheduling, and periodic events where intervals are 35 units apart.

Examples on Multiples of 35

Simple Multiples

• 35×1 = 35
• 35×2 = 70
• 35×3 = 105

Larger Multiples

• 35×10 = 350
• 35×20 = 700
• 35×30 = 105

Real-Life Examples

• Time: If a task takes 35 minutes to complete and you do it twice, it will take 35×2 = 70 minutes.
• Money: If an item costs 35 dollars and you buy 5 of them, the total cost will be 35×5 = 175 dollars.
• Measurements: If a field is 35 yards long and you have 4 such fields, the total length is 35×4 = 140 yards.

Practical Examples of Multiples of 35

What is the 15th multiple of 35?

The 15th multiple of 35 is 35×15 = 525.

Is 350 a multiple of 35?

Yes, 350 is a multiple of 35 because 35×10 = 350.

What is the next multiple of 35 after 315?

The next multiple of 35 after 315 is 315+35 = 350.

Find the 25th multiple of 35.

The 25th multiple of 35 is 35×25 = 875.

Is 780 a multiple of 35?

No, 780 is not a multiple of 35 because it cannot be expressed as 35×n for any integer n.

FAQs