Multiples of 46

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Created by: Team Maths - Examples.com, Last Updated: August 21, 2024

Multiples of 46

Multiples of 46 refer to the numbers that result from multiplying 46 by integers. In mathematics, a multiple is a product of a given number and any integer. For instance, 46, 92, and 138 are all multiples of 46. Understanding multiples involves knowing their relationship with factors and divisors. Multiplication helps identify these multiples, making it easier to work with various mathematical problems involving integers and numbers.

What are Multiples of 46?

Multiples of 46 are numbers obtained by multiplying 46 with any integer. They form a sequence where each number is a product of 46 and a whole number. Examples include 46, 92, 138, and so on.

Prime Factorization of 46: 2 × 23 First 10 Multiples of 46 are 46, 92, 138, 184, 230, 276, 322, 368, 414, 460.

For example, 184, 276, 368 and 414 are all multiples of 46, 473 is not a multiple of 46 for the following reasons:

NumberReasonRemainder
184184 is a multiple of 46 because 46 × 4 = 1840
276276 is a multiple of 46 because 46 × 6 = 2760
368368 is a multiple of 46 because 46 × 8 = 3680
414414 is a multiple of 46 because 46 × 9 = 4140
473473 is not a multiple of 46 because 46 × 10 = 460 with a remainder of 1313

List of First 100 Multiples of 46 with Remainders

List-of-First-100-Multiples-of-46
NumberReasonRemainder
4646 is a multiple of 46 because 46 × 1 = 460
9292 is a multiple of 46 because 46 × 2 = 920
138138 is a multiple of 46 because 46 × 3 = 1380
184184 is a multiple of 46 because 46 × 4 = 1840
230230 is a multiple of 46 because 46 × 5 = 2300
276276 is a multiple of 46 because 46 × 6 = 2760
322322 is a multiple of 46 because 46 × 7 = 3220
368368 is a multiple of 46 because 46 × 8 = 3680
414414 is a multiple of 46 because 46 × 9 = 4140
460460 is a multiple of 46 because 46 × 10 = 4600
506506 is a multiple of 46 because 46 × 11 = 5060
552552 is a multiple of 46 because 46 × 12 = 5520
598598 is a multiple of 46 because 46 × 13 = 5980
644644 is a multiple of 46 because 46 × 14 = 6440
690690 is a multiple of 46 because 46 × 15 = 6900
736736 is a multiple of 46 because 46 × 16 = 7360
782782 is a multiple of 46 because 46 × 17 = 7820
828828 is a multiple of 46 because 46 × 18 = 8280
874874 is a multiple of 46 because 46 × 19 = 8740
920920 is a multiple of 46 because 46 × 20 = 9200
966966 is a multiple of 46 because 46 × 21 = 9660
10121012 is a multiple of 46 because 46 × 22 = 10120
10581058 is a multiple of 46 because 46 × 23 = 10580
11041104 is a multiple of 46 because 46 × 24 = 11040
11501150 is a multiple of 46 because 46 × 25 = 11500
11961196 is a multiple of 46 because 46 × 26 = 11960
12421242 is a multiple of 46 because 46 × 27 = 12420
12881288 is a multiple of 46 because 46 × 28 = 12880
13341334 is a multiple of 46 because 46 × 29 = 13340
13801380 is a multiple of 46 because 46 × 30 = 13800
14261426 is a multiple of 46 because 46 × 31 = 14260
14721472 is a multiple of 46 because 46 × 32 = 14720
15181518 is a multiple of 46 because 46 × 33 = 15180
15641564 is a multiple of 46 because 46 × 34 = 15640
16101610 is a multiple of 46 because 46 × 35 = 16100
16561656 is a multiple of 46 because 46 × 36 = 16560
17021702 is a multiple of 46 because 46 × 37 = 17020
17481748 is a multiple of 46 because 46 × 38 = 17480
17941794 is a multiple of 46 because 46 × 39 = 17940
18401840 is a multiple of 46 because 46 × 40 = 18400
18861886 is a multiple of 46 because 46 × 41 = 18860
19321932 is a multiple of 46 because 46 × 42 = 19320
19781978 is a multiple of 46 because 46 × 43 = 19780
20242024 is a multiple of 46 because 46 × 44 = 20240
20702070 is a multiple of 46 because 46 × 45 = 20700
21162116 is a multiple of 46 because 46 × 46 = 21160
21622162 is a multiple of 46 because 46 × 47 = 21620
22082208 is a multiple of 46 because 46 × 48 = 22080
22542254 is a multiple of 46 because 46 × 49 = 22540
23002300 is a multiple of 46 because 46 × 50 = 23000
23462346 is a multiple of 46 because 46 × 51 = 23460
23922392 is a multiple of 46 because 46 × 52 = 23920
24382438 is a multiple of 46 because 46 × 53 = 24380
24842484 is a multiple of 46 because 46 × 54 = 24840
25302530 is a multiple of 46 because 46 × 55 = 25300
25762576 is a multiple of 46 because 46 × 56 = 25760
26222622 is a multiple of 46 because 46 × 57 = 26220
26682668 is a multiple of 46 because 46 × 58 = 26680
27142714 is a multiple of 46 because 46 × 59 = 27140
27602760 is a multiple of 46 because 46 × 60 = 27600
28062806 is a multiple of 46 because 46 × 61 = 28060
28522852 is a multiple of 46 because 46 × 62 = 28520
28982898 is a multiple of 46 because 46 × 63 = 28980
29442944 is a multiple of 46 because 46 × 64 = 29440
29902990 is a multiple of 46 because 46 × 65 = 29900
30363036 is a multiple of 46 because 46 × 66 = 30360
30823082 is a multiple of 46 because 46 × 67 = 30820
31283128 is a multiple of 46 because 46 × 68 = 31280
31743174 is a multiple of 46 because 46 × 69 = 31740
32203220 is a multiple of 46 because 46 × 70 = 32200
32663266 is a multiple of 46 because 46 × 71 = 32660
33123312 is a multiple of 46 because 46 × 72 = 33120
33583358 is a multiple of 46 because 46 × 73 = 33580
34043404 is a multiple of 46 because 46 × 74 = 34040
34503450 is a multiple of 46 because 46 × 75 = 34500
34963496 is a multiple of 46 because 46 × 76 = 34960
35423542 is a multiple of 46 because 46 × 77 = 35420
35883588 is a multiple of 46 because 46 × 78 = 35880
36343634 is a multiple of 46 because 46 × 79 = 36340
36803680 is a multiple of 46 because 46 × 80 = 36800
37263726 is a multiple of 46 because 46 × 81 = 37260
37723772 is a multiple of 46 because 46 × 82 = 37720
38183818 is a multiple of 46 because 46 × 83 = 38180
38643864 is a multiple of 46 because 46 × 84 = 38640
39103910 is a multiple of 46 because 46 × 85 = 39100
39563956 is a multiple of 46 because 46 × 86 = 39560
40024002 is a multiple of 46 because 46 × 87 = 40020
40484048 is a multiple of 46 because 46 × 88 = 40480
40944094 is a multiple of 46 because 46 × 89 = 40940
41404140 is a multiple of 46 because 46 × 90 = 41400
41864186 is a multiple of 46 because 46 × 91 = 41860
42324232 is a multiple of 46 because 46 × 92 = 42320
42784278 is a multiple of 46 because 46 × 93 = 42780
43244324 is a multiple of 46 because 46 × 94 = 43240
43704370 is a multiple of 46 because 46 × 95 = 43700
44164416 is a multiple of 46 because 46 × 96 = 44160
44624462 is a multiple of 46 because 46 × 97 = 44620
45084508 is a multiple of 46 because 46 × 98 = 45080
45544554 is a multiple of 46 because 46 × 99 = 45540
46004600 is a multiple of 46 because 46 × 100 = 46000

Read More About Multiples of 46

Table of 46

Important Notes

Definition

Multiples of 46 are numbers that can be expressed as 46 times any integer (e.g., 46, 92, 138).

Sequence

The sequence of multiples of 46 begins with: 46, 92, 138, 184, 230

This sequence continues infinitely by adding 46 repeatedly.

Divisibility

Any multiple of 46 is divisible by both 46 and its factors, such as: 1, 2, 23, 46

Calculation

To find the nth multiple of 46, multiply 46 by n. For example:

The 5th multiple of 46 is 46 x 5 = 230.

Patterns

Multiples of 46 follow a distinct pattern:

These numbers do not end in a specific digit pattern like multiples of 5 (which end in 0 or 5) but are evenly spaced by 46 in the number line.

Example Calculation:

  • 1st multiple: 46 x 1 = 46
  • 2nd multiple: 46 x 2 = 92
  • 3rd multiple: 46 x 3 = 138
  • 4th multiple: 46 x 4 = 184
  • 5th multiple: 46 x 5 = 230

Summary Table

MultipleCalculationResult
1st46 x 146
2nd46 x 292
3rd46 x 3138
4th46 x 4184
5th46 x 5230

Examples on Multiples of 46

Simple Multiples

  • 92: 46 × 2 = 92
  • 138: 46 × 3 = 138
  • 184: 46 × 4 = 184

Larger Multiples

  • 460: 46 × 10 = 460
  • 920: 46 × 20 = 920

Real-Life Examples

  • Distance: If a runner completes 46 meters in one lap, 230 meters is a multiple of 46 because 46 × 5 = 230.
  • Time: If a task takes 46 minutes to complete once, then in 368 minutes, the task can be done 8 times since 46 × 8 = 368.
  • Money: If an item costs $46, then buying 15 of them will cost $690, because 46 × 15 = 690.

Practical Examples of Multiples of 46

What is the 12th multiple of 46?

The 12th multiple of 46 is 46 × 12 = 552.

Is 276 a multiple of 46?

Yes, 276 is a multiple of 46 because 46 × 6 = 276.

What is the next multiple of 46 after 322?

The next multiple of 46 after 322 is 368 because 46 × 7 = 322 + 46 = 368.

Find the 30th multiple of 46.

The 30th multiple of 46 is 46 × 30 = 1380.

Is 400 a multiple of 46?

No, 400 is not a multiple of 46 because there is no integer n such that 46 × n = 400.

FAQs

What are the first five multiples of 46?

The first five multiples of 46 are 46, 92, 138, 184, and 230.

How do you determine if a number is a multiple of 46?

A number is a multiple of 46 if it can be divided by 46 without leaving a remainder. You can verify this by performing the division and checking if the remainder is zero.

What is a multiple of 46?

A multiple of 46 is any number that can be expressed as 46 times an integer. In other words, if you multiply 46 by any whole number (positive, negative, or zero), the result is a multiple of 46.

Are all multiples of 46 even numbers?

Yes, all multiples of 46 are even numbers because 46 itself is an even number. When an even number is multiplied by any integer, the result is always an even number.

Is 0 a multiple of 46?

Yes, 0 is a multiple of 46. Any number multiplied by 0 equals 0, so 46 × 0 = 0.

What is the 10th multiple of 46?

The 10th multiple of 46 is 460. This can be found by multiplying 46 by 10 (46 × 10 = 460).

Can multiples of 46 be negative?

Yes, multiples of 46 can be negative. For example, -46, -92, and -138 are all multiples of 46, found by multiplying 46 by -1, -2, and -3, respectively.

What is the least common multiple (LCM) of 46 and 92?

The least common multiple (LCM) of 46 and 92 is 92. Since 92 is a multiple of 46 (46 × 2), it is the smallest number that both 46 and 92 divide into without a remainder.

How do you find the nth multiple of 46?

To find the nth multiple of 46, multiply 46 by n. For example, the nth multiple is given by 46 × n.

Are multiples of 46 divisible by 2?

Yes, all multiples of 46 are divisible by 2 because 46 itself is divisible by 2. Hence, any multiple of 46 will also be divisible by 2.

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