Multiples of 34

In mathematics, multiples of 34 are numbers that can be obtained by multiplying 34 with any integer. These numbers are the result of the multiplication of 34 with whole numbers such as 1, 2, 3, and so on. Each multiple of 34 can also be described as having 34 as one of its factors or divisors. Understanding multiples is fundamental to grasping more complex concepts in number theory and arithmetic.

What are Multiples of 34?

Multiples of 34 are the products obtained by multiplying 34 by any integer. Examples include 34, 68, 102, 136, and so on. These numbers follow the pattern 34n, where n is any integer.

Prime Factorization of 34: 2 x 17 First 10 Multiples of 34 are 34, 68, 102, 136, 170, 204, 238, 272, 306, 340.

For example, 102, 170, 238 and 272 are all multiples of 34, 360 is not a multiple of 34 for the following reasons:

Number	Calculation	Reason	Remainder
102	102÷34 = 3	102 is a multiple of 34 because it divides evenly.	0
170	170÷34 = 5	170 is a multiple of 34 because it divides evenly.	0
238	238÷34 = 7	238 is a multiple of 34 because it divides evenly.	0
272	272÷34 = 8	272 is a multiple of 34 because it divides evenly.	0
360	360÷34 = 10	360 is not a multiple of 34 because it does not divide evenly.	20

List of First 100 Multiples of 34 with Remainders

Number	Reason	Remainder
34	34 is a multiple of 34 because 34 × 1 = 34	0
68	68 is a multiple of 34 because 34 × 2 = 68	0
102	102 is a multiple of 34 because 34 × 3 = 102	0
136	136 is a multiple of 34 because 34 × 4 = 136	0
170	170 is a multiple of 34 because 34 × 5 = 170	0
204	204 is a multiple of 34 because 34 × 6 = 204	0
238	238 is a multiple of 34 because 34 × 7 = 238	0
272	272 is a multiple of 34 because 34 × 8 = 272	0
306	306 is a multiple of 34 because 34 × 9 = 306	0
340	340 is a multiple of 34 because 34 × 10 = 340	0
374	374 is a multiple of 34 because 34 × 11 = 374	0
408	408 is a multiple of 34 because 34 × 12 = 408	0
442	442 is a multiple of 34 because 34 × 13 = 442	0
476	476 is a multiple of 34 because 34 × 14 = 476	0
510	510 is a multiple of 34 because 34 × 15 = 510	0
544	544 is a multiple of 34 because 34 × 16 = 544	0
578	578 is a multiple of 34 because 34 × 17 = 578	0
612	612 is a multiple of 34 because 34 × 18 = 612	0
646	646 is a multiple of 34 because 34 × 19 = 646	0
680	680 is a multiple of 34 because 34 × 20 = 680	0
714	714 is a multiple of 34 because 34 × 21 = 714	0
748	748 is a multiple of 34 because 34 × 22 = 748	0
782	782 is a multiple of 34 because 34 × 23 = 782	0
816	816 is a multiple of 34 because 34 × 24 = 816	0
850	850 is a multiple of 34 because 34 × 25 = 850	0
884	884 is a multiple of 34 because 34 × 26 = 884	0
918	918 is a multiple of 34 because 34 × 27 = 918	0
952	952 is a multiple of 34 because 34 × 28 = 952	0
986	986 is a multiple of 34 because 34 × 29 = 986	0
1020	1020 is a multiple of 34 because 34 × 30 = 1020	0
1054	1054 is a multiple of 34 because 34 × 31 = 1054	0
1088	1088 is a multiple of 34 because 34 × 32 = 1088	0
1122	1122 is a multiple of 34 because 34 × 33 = 1122	0
1156	1156 is a multiple of 34 because 34 × 34 = 1156	0
1190	1190 is a multiple of 34 because 34 × 35 = 1190	0
1224	1224 is a multiple of 34 because 34 × 36 = 1224	0
1258	1258 is a multiple of 34 because 34 × 37 = 1258	0
1292	1292 is a multiple of 34 because 34 × 38 = 1292	0
1326	1326 is a multiple of 34 because 34 × 39 = 1326	0
1360	1360 is a multiple of 34 because 34 × 40 = 1360	0
1394	1394 is a multiple of 34 because 34 × 41 = 1394	0
1428	1428 is a multiple of 34 because 34 × 42 = 1428	0
1462	1462 is a multiple of 34 because 34 × 43 = 1462	0
1496	1496 is a multiple of 34 because 34 × 44 = 1496	0
1530	1530 is a multiple of 34 because 34 × 45 = 1530	0
1564	1564 is a multiple of 34 because 34 × 46 = 1564	0
1598	1598 is a multiple of 34 because 34 × 47 = 1598	0
1632	1632 is a multiple of 34 because 34 × 48 = 1632	0
1666	1666 is a multiple of 34 because 34 × 49 = 1666	0
1700	1700 is a multiple of 34 because 34 × 50 = 1700	0
1734	1734 is a multiple of 34 because 34 × 51 = 1734	0
1768	1768 is a multiple of 34 because 34 × 52 = 1768	0
1802	1802 is a multiple of 34 because 34 × 53 = 1802	0
1836	1836 is a multiple of 34 because 34 × 54 = 1836	0
1870	1870 is a multiple of 34 because 34 × 55 = 1870	0
1904	1904 is a multiple of 34 because 34 × 56 = 1904	0
1938	1938 is a multiple of 34 because 34 × 57 = 1938	0
1972	1972 is a multiple of 34 because 34 × 58 = 1972	0
2006	2006 is a multiple of 34 because 34 × 59 = 2006	0
2040	2040 is a multiple of 34 because 34 × 60 = 2040	0
2074	2074 is a multiple of 34 because 34 × 61 = 2074	0
2108	2108 is a multiple of 34 because 34 × 62 = 2108	0
2142	2142 is a multiple of 34 because 34 × 63 = 2142	0
2176	2176 is a multiple of 34 because 34 × 64 = 2176	0
2210	2210 is a multiple of 34 because 34 × 65 = 2210	0
2244	2244 is a multiple of 34 because 34 × 66 = 2244	0
2278	2278 is a multiple of 34 because 34 × 67 = 2278	0
2312	2312 is a multiple of 34 because 34 × 68 = 2312	0
2346	2346 is a multiple of 34 because 34 × 69 = 2346	0
2380	2380 is a multiple of 34 because 34 × 70 = 2380	0
2414	2414 is a multiple of 34 because 34 × 71 = 2414	0
2448	2448 is a multiple of 34 because 34 × 72 = 2448	0
2482	2482 is a multiple of 34 because 34 × 73 = 2482	0
2516	2516 is a multiple of 34 because 34 × 74 = 2516	0
2550	2550 is a multiple of 34 because 34 × 75 = 2550	0
2584	2584 is a multiple of 34 because 34 × 76 = 2584	0
2618	2618 is a multiple of 34 because 34 × 77 = 2618	0
2652	2652 is a multiple of 34 because 34 × 78 = 2652	0
2686	2686 is a multiple of 34 because 34 × 79 = 2686	0
2720	2720 is a multiple of 34 because 34 × 80 = 2720	0
2754	2754 is a multiple of 34 because 34 × 81 = 2754	0
2788	2788 is a multiple of 34 because 34 × 82 = 2788	0
2822	2822 is a multiple of 34 because 34 × 83 = 2822	0
2856	2856 is a multiple of 34 because 34 × 84 = 2856	0
2890	2890 is a multiple of 34 because 34 × 85 = 2890	0
2924	2924 is a multiple of 34 because 34 × 86 = 2924	0
2958	2958 is a multiple of 34 because 34 × 87 = 2958	0
2992	2992 is a multiple of 34 because 34 × 88 = 2992	0
3026	3026 is a multiple of 34 because 34 × 89 = 3026	0
3060	3060 is a multiple of 34 because 34 × 90 = 3060	0
3094	3094 is a multiple of 34 because 34 × 91 = 3094	0
3128	3128 is a multiple of 34 because 34 × 92 = 3128	0
3162	3162 is a multiple of 34 because 34 × 93 = 3162	0
3196	3196 is a multiple of 34 because 34 × 94 = 3196	0
3230	3230 is a multiple of 34 because 34 × 95 = 3230	0
3264	3264 is a multiple of 34 because 34 × 96 = 3264	0
3298	3298 is a multiple of 34 because 34 × 97 = 3298	0
3332	3332 is a multiple of 34 because 34 × 98 = 3332	0
3366	3366 is a multiple of 34 because 34 × 99 = 3366	0
3400	3400 is a multiple of 34 because 34 × 100 = 3400	0

Read More About Multiples of 34

Table of 34

Important Notes

Definition: Multiples of 34 are the products of 34 and any integer. For example, 34, 68, 102, 136, etc.

Pattern: The sequence of multiples of 34 increases by 34 each time. If n is an integer, then the n-th multiple of 34 is 34×n.

Common Properties:

• All multiples of 34 are even numbers because 34 itself is even.
• If a number is a multiple of 34, it is also a multiple of 2 and 17, since 34 = 2 × 17.

Divisibility:

• A number is a multiple of 34 if it can be evenly divided by 34 without a remainder.
• To check if a large number is a multiple of 34, you can divide the number by 34 and see if the quotient is an integer.

Applications: Multiples of 34 can be used in various mathematical problems, including finding common multiples, solving least common multiple (LCM) problems, and understanding number patterns and sequences.

Examples on Multiples of 34

Simple Multiples

• 34 × 2 = 68
• 34 × 3 = 102
• 34 × 4 = 136

Larger Multiples

• 34 × 5 = 170

34 × 6 = 204

Real-Life Examples

• Age: If you have a family with 34 members, then the total age of 6 members is a multiple of 34, e.g., 34 × 6 = 204.
• Money: Suppose you have a currency denomination where each bill is 34 units. If you have 10 such bills, the total is 34 × 10 = 340.
• Time: In an event that lasts 34 minutes, if repeated 5 times, the total time spent is a multiple of 34, e.g., 34 × 5 = 170.

Practical Examples of Multiples of 34

What is the 10th multiple of 34?

The 10th multiple of 34 is 34 × 10 = 340.

Is 238 a multiple of 34?

Yes, 238 is a multiple of 34 because 34 × 7 = 238.

What is the next multiple of 34 after 204?

The next multiple of 34 after 204 is 204 + 34 = 238.

Find the 15th multiple of 34.

The 15th multiple of 34 is 34 × 15 = 510.

Is 73 a multiple of 34?

No, 73 is not a multiple of 34 because it cannot be expressed as 34 × n, where n is an integer.

FAQs