Multiples of 49

Multiples of 49 are numbers that result from multiplying 49 by any integer. These multiples are part of the larger set of integers and play a crucial role in understanding number theory, specifically in the context of multiplication. In mathematics, identifying multiples helps in determining factors and divisors of a given number. For instance, some initial multiples of 49 include 49, 98, 147, and 196, each being the product of 49 and a positive integer. Studying multiples aids in grasping the relationship between numbers, their divisors, and their common factors.

What are Multiples of 49?

Multiples of 49 are numbers that result from multiplying 49 by any integer. They are part of the arithmetic sequence 49, 98, 147, and so on. Each multiple has 49 as a factor and is divisible by 49.

Prime Factorization of 49: 7 x 7 First 10 Multiples of 49 are 49, 98, 147, 196, 245, 294, 343, 392, 441, 490.

For example, 147, 294, 343 and 441 are all multiples of 49, 503 is not a multiple of 49 for the following reasons:

Number	Reason	Remainder
147	147 is a multiple of 49 because 49 × 3 = 147	0
294	294 is a multiple of 49 because 49 × 6 = 294	0
343	343 is a multiple of 49 because 49 × 7 = 343	0
441	441 is a multiple of 49 because 49 × 9 = 441	0
503	503 is not a multiple of 49 because 49 × 10 = 490 with a remainder of 13	13

List of First 100 Multiples of 49 with Remainders

Number	Reason	Remainder
49	49 is a multiple of 49 because 49 × 1 = 49	0
98	98 is a multiple of 49 because 49 × 2 = 98	0
147	147 is a multiple of 49 because 49 × 3 = 147	0
196	196 is a multiple of 49 because 49 × 4 = 196	0
245	245 is a multiple of 49 because 49 × 5 = 245	0
294	294 is a multiple of 49 because 49 × 6 = 294	0
343	343 is a multiple of 49 because 49 × 7 = 343	0
392	392 is a multiple of 49 because 49 × 8 = 392	0
441	441 is a multiple of 49 because 49 × 9 = 441	0
490	490 is a multiple of 49 because 49 × 10 = 490	0
539	539 is a multiple of 49 because 49 × 11 = 539	0
588	588 is a multiple of 49 because 49 × 12 = 588	0
637	637 is a multiple of 49 because 49 × 13 = 637	0
686	686 is a multiple of 49 because 49 × 14 = 686	0
735	735 is a multiple of 49 because 49 × 15 = 735	0
784	784 is a multiple of 49 because 49 × 16 = 784	0
833	833 is a multiple of 49 because 49 × 17 = 833	0
882	882 is a multiple of 49 because 49 × 18 = 882	0
931	931 is a multiple of 49 because 49 × 19 = 931	0
980	980 is a multiple of 49 because 49 × 20 = 980	0
1029	1029 is a multiple of 49 because 49 × 21 = 1029	0
1078	1078 is a multiple of 49 because 49 × 22 = 1078	0
1127	1127 is a multiple of 49 because 49 × 23 = 1127	0
1176	1176 is a multiple of 49 because 49 × 24 = 1176	0
1225	1225 is a multiple of 49 because 49 × 25 = 1225	0
1274	1274 is a multiple of 49 because 49 × 26 = 1274	0
1323	1323 is a multiple of 49 because 49 × 27 = 1323	0
1372	1372 is a multiple of 49 because 49 × 28 = 1372	0
1421	1421 is a multiple of 49 because 49 × 29 = 1421	0
1470	1470 is a multiple of 49 because 49 × 30 = 1470	0
1519	1519 is a multiple of 49 because 49 × 31 = 1519	0
1568	1568 is a multiple of 49 because 49 × 32 = 1568	0
1617	1617 is a multiple of 49 because 49 × 33 = 1617	0
1666	1666 is a multiple of 49 because 49 × 34 = 1666	0
1715	1715 is a multiple of 49 because 49 × 35 = 1715	0
1764	1764 is a multiple of 49 because 49 × 36 = 1764	0
1813	1813 is a multiple of 49 because 49 × 37 = 1813	0
1862	1862 is a multiple of 49 because 49 × 38 = 1862	0
1911	1911 is a multiple of 49 because 49 × 39 = 1911	0
1960	1960 is a multiple of 49 because 49 × 40 = 1960	0
2009	2009 is a multiple of 49 because 49 × 41 = 2009	0
2058	2058 is a multiple of 49 because 49 × 42 = 2058	0
2107	2107 is a multiple of 49 because 49 × 43 = 2107	0
2156	2156 is a multiple of 49 because 49 × 44 = 2156	0
2205	2205 is a multiple of 49 because 49 × 45 = 2205	0
2254	2254 is a multiple of 49 because 49 × 46 = 2254	0
2303	2303 is a multiple of 49 because 49 × 47 = 2303	0
2352	2352 is a multiple of 49 because 49 × 48 = 2352	0
2401	2401 is a multiple of 49 because 49 × 49 = 2401	0
2450	2450 is a multiple of 49 because 49 × 50 = 2450	0
2499	2499 is a multiple of 49 because 49 × 51 = 2499	0
2548	2548 is a multiple of 49 because 49 × 52 = 2548	0
2597	2597 is a multiple of 49 because 49 × 53 = 2597	0
2646	2646 is a multiple of 49 because 49 × 54 = 2646	0
2695	2695 is a multiple of 49 because 49 × 55 = 2695	0
2744	2744 is a multiple of 49 because 49 × 56 = 2744	0
2793	2793 is a multiple of 49 because 49 × 57 = 2793	0
2842	2842 is a multiple of 49 because 49 × 58 = 2842	0
2891	2891 is a multiple of 49 because 49 × 59 = 2891	0
2940	2940 is a multiple of 49 because 49 × 60 = 2940	0
2989	2989 is a multiple of 49 because 49 × 61 = 2989	0
3038	3038 is a multiple of 49 because 49 × 62 = 3038	0
3087	3087 is a multiple of 49 because 49 × 63 = 3087	0
3136	3136 is a multiple of 49 because 49 × 64 = 3136	0
3185	3185 is a multiple of 49 because 49 × 65 = 3185	0
3234	3234 is a multiple of 49 because 49 × 66 = 3234	0
3283	3283 is a multiple of 49 because 49 × 67 = 3283	0
3332	3332 is a multiple of 49 because 49 × 68 = 3332	0
3381	3381 is a multiple of 49 because 49 × 69 = 3381	0
3430	3430 is a multiple of 49 because 49 × 70 = 3430	0
3479	3479 is a multiple of 49 because 49 × 71 = 3479	0
3528	3528 is a multiple of 49 because 49 × 72 = 3528	0
3577	3577 is a multiple of 49 because 49 × 73 = 3577	0
3626	3626 is a multiple of 49 because 49 × 74 = 3626	0
3675	3675 is a multiple of 49 because 49 × 75 = 3675	0
3724	3724 is a multiple of 49 because 49 × 76 = 3724	0
3773	3773 is a multiple of 49 because 49 × 77 = 3773	0
3822	3822 is a multiple of 49 because 49 × 78 = 3822	0
3871	3871 is a multiple of 49 because 49 × 79 = 3871	0
3920	3920 is a multiple of 49 because 49 × 80 = 3920	0
3969	3969 is a multiple of 49 because 49 × 81 = 3969	0
4018	4018 is a multiple of 49 because 49 × 82 = 4018	0
4067	4067 is a multiple of 49 because 49 × 83 = 4067	0
4116	4116 is a multiple of 49 because 49 × 84 = 4116	0
4165	4165 is a multiple of 49 because 49 × 85 = 4165	0
4214	4214 is a multiple of 49 because 49 × 86 = 4214	0
4263	4263 is a multiple of 49 because 49 × 87 = 4263	0
4312	4312 is a multiple of 49 because 49 × 88 = 4312	0
4361	4361 is a multiple of 49 because 49 × 89 = 4361	0
4410	4410 is a multiple of 49 because 49 × 90 = 4410	0
4459	4459 is a multiple of 49 because 49 × 91 = 4459	0
4508	4508 is a multiple of 49 because 49 × 92 = 4508	0
4557	4557 is a multiple of 49 because 49 × 93 = 4557	0
4606	4606 is a multiple of 49 because 49 × 94 = 4606	0
4655	4655 is a multiple of 49 because 49 × 95 = 4655	0
4704	4704 is a multiple of 49 because 49 × 96 = 4704	0
4753	4753 is a multiple of 49 because 49 × 97 = 4753	0
4802	4802 is a multiple of 49 because 49 × 98 = 4802	0
4851	4851 is a multiple of 49 because 49 × 99 = 4851	0
4900	4900 is a multiple of 49 because 49 × 100 = 4900	0

Read More About Multiples of 49

Table of 49

Important Notes

Definition

Multiples of 49 are numbers that can be expressed as 49 times any integer (e.g., 49, 98, 147).

Sequence

The sequence of multiples of 49 begins with 49, 98, 147, 196, 245, and continues infinitely by adding 49 repeatedly.

Divisibility

Any multiple of 49 is divisible by both 49 and its factors, such as 1, 7, and 49.

Calculation

To find the nth multiple of 49, multiply 49 by n (e.g., the 5th multiple of 49 is 49 x 5 = 245).

Patterns

Multiples of 49 do not follow a simple ending pattern like multiples of 10 or 5, but they increase by 49 each time, forming a regular arithmetic sequence.

Examples on Multiples of 49

Simple Multiples of 49

• 49: 49×1 = 49
• 49 times 1 is equal to 49.

• 98: 49×2 = 98
• 49 times 2 is equal to 98.

• 147: 49×3 = 147
• 49 times 3 is equal to 147.

Larger Multiples of 49

• 490: 49×10 = 490
• 49 times 10 is equal to 490.

• 980: 49×20 = 980
• 49 times 20 is equal to 980.

Real-Life Examples of Multiples of 49

Sports: 49ers

• Example: The San Francisco 49ers football team gets its name from the year 1849, significant to the California Gold Rush.

Education: 49 Students

• Example: A class with 49 students is a multiple of 49 because it is 49×1.

Time: 49 Days

• Example: A period of 49 days is a multiple of 49 because it is 49×1.

Practical Examples of Multiples of 49

What is the 15th multiple of 49?

• The 15th multiple of 49 is 49×15 = 735.

Is 294 a multiple of 49?

• Yes, 294 is a multiple of 49 because 49×6 = 294.

What is the next multiple of 49 after 441?

• The next multiple of 49 after 441 is 441 + 49 = 490.

Find the 25th multiple of 49.

• The 25th multiple of 49 is 49×25 = 1225.

Is 353 a multiple of 49?

• No, 353 is not a multiple of 49 because it cannot be expressed as 49×n for any integer n.

FAQs