Multiples of 38

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

Multiples of 38

Multiples of 38 are numbers that result from multiplying 38 by any integer. These multiples are part of fundamental math concepts involving multiplication and integers. Understanding multiples helps in identifying factors and divisors of numbers. Multiples of 38 can be generated by sequentially multiplying 38 with integers like 1, 2, 3, and so on. This knowledge is essential in various mathematical applications and problem-solving scenarios.

What are Multiples of 38?

Multiples of 38 are the products of 38 and any integer. These include numbers like 38, 76, 114, 152, 190, and so on. Each multiple is found by multiplying 38 by whole numbers such as 1, 2, 3, etc.

Prime Factorization of 38: 2 x 19 First 10 Multiples of 38 are 38, 76, 114, 152, 190, 228, 266, 304, 342, 380.

For example, 114, 190, 266 and 342 are all multiples of 38, 360 is not a multiple of 38 for the following reasons:

NumberCalculationReasonRemainder
114114÷38 = 3114 is a multiple of 38 because it divides evenly.0
190190÷38 = 5190 is a multiple of 38 because it divides evenly.0
266266÷38 = 7266 is a multiple of 38 because it divides evenly.0
342342÷38 = 9342 is a multiple of 38 because it divides evenly.0
360360÷38 = 9360 is not a multiple of 38 because it does not divide evenly.18

List of First 100 Multiples of 38 with Remainders

List-of-First-100-Multiples-of-38
NumberReasonRemainder
3838 is a multiple of 38 because 38 × 1 = 380
7676 is a multiple of 38 because 38 × 2 = 760
114114 is a multiple of 38 because 38 × 3 = 1140
152152 is a multiple of 38 because 38 × 4 = 1520
190190 is a multiple of 38 because 38 × 5 = 1900
228228 is a multiple of 38 because 38 × 6 = 2280
266266 is a multiple of 38 because 38 × 7 = 2660
304304 is a multiple of 38 because 38 × 8 = 3040
342342 is a multiple of 38 because 38 × 9 = 3420
380380 is a multiple of 38 because 38 × 10 = 3800
418418 is a multiple of 38 because 38 × 11 = 4180
456456 is a multiple of 38 because 38 × 12 = 4560
494494 is a multiple of 38 because 38 × 13 = 4940
532532 is a multiple of 38 because 38 × 14 = 5320
570570 is a multiple of 38 because 38 × 15 = 5700
608608 is a multiple of 38 because 38 × 16 = 6080
646646 is a multiple of 38 because 38 × 17 = 6460
684684 is a multiple of 38 because 38 × 18 = 6840
722722 is a multiple of 38 because 38 × 19 = 7220
760760 is a multiple of 38 because 38 × 20 = 7600
798798 is a multiple of 38 because 38 × 21 = 7980
836836 is a multiple of 38 because 38 × 22 = 8360
874874 is a multiple of 38 because 38 × 23 = 8740
912912 is a multiple of 38 because 38 × 24 = 9120
950950 is a multiple of 38 because 38 × 25 = 9500
988988 is a multiple of 38 because 38 × 26 = 9880
10261026 is a multiple of 38 because 38 × 27 = 10260
10641064 is a multiple of 38 because 38 × 28 = 10640
11021102 is a multiple of 38 because 38 × 29 = 11020
11401140 is a multiple of 38 because 38 × 30 = 11400
11781178 is a multiple of 38 because 38 × 31 = 11780
12161216 is a multiple of 38 because 38 × 32 = 12160
12541254 is a multiple of 38 because 38 × 33 = 12540
12921292 is a multiple of 38 because 38 × 34 = 12920
13301330 is a multiple of 38 because 38 × 35 = 13300
13681368 is a multiple of 38 because 38 × 36 = 13680
14061406 is a multiple of 38 because 38 × 37 = 14060
14441444 is a multiple of 38 because 38 × 38 = 14440
14821482 is a multiple of 38 because 38 × 39 = 14820
15201520 is a multiple of 38 because 38 × 40 = 15200
15581558 is a multiple of 38 because 38 × 41 = 15580
15961596 is a multiple of 38 because 38 × 42 = 15960
16341634 is a multiple of 38 because 38 × 43 = 16340
16721672 is a multiple of 38 because 38 × 44 = 16720
17101710 is a multiple of 38 because 38 × 45 = 17100
17481748 is a multiple of 38 because 38 × 46 = 17480
17861786 is a multiple of 38 because 38 × 47 = 17860
18241824 is a multiple of 38 because 38 × 48 = 18240
18621862 is a multiple of 38 because 38 × 49 = 18620
19001900 is a multiple of 38 because 38 × 50 = 19000
19381938 is a multiple of 38 because 38 × 51 = 19380
19761976 is a multiple of 38 because 38 × 52 = 19760
20142014 is a multiple of 38 because 38 × 53 = 20140
20522052 is a multiple of 38 because 38 × 54 = 20520
20902090 is a multiple of 38 because 38 × 55 = 20900
21282128 is a multiple of 38 because 38 × 56 = 21280
21662166 is a multiple of 38 because 38 × 57 = 21660
22042204 is a multiple of 38 because 38 × 58 = 22040
22422242 is a multiple of 38 because 38 × 59 = 22420
22802280 is a multiple of 38 because 38 × 60 = 22800
23182318 is a multiple of 38 because 38 × 61 = 23180
23562356 is a multiple of 38 because 38 × 62 = 23560
23942394 is a multiple of 38 because 38 × 63 = 23940
24322432 is a multiple of 38 because 38 × 64 = 24320
24702470 is a multiple of 38 because 38 × 65 = 24700
25082508 is a multiple of 38 because 38 × 66 = 25080
25462546 is a multiple of 38 because 38 × 67 = 25460
25842584 is a multiple of 38 because 38 × 68 = 25840
26222622 is a multiple of 38 because 38 × 69 = 26220
26602660 is a multiple of 38 because 38 × 70 = 26600
26982698 is a multiple of 38 because 38 × 71 = 26980
27362736 is a multiple of 38 because 38 × 72 = 27360
27742774 is a multiple of 38 because 38 × 73 = 27740
28122812 is a multiple of 38 because 38 × 74 = 28120
28502850 is a multiple of 38 because 38 × 75 = 28500
28882888 is a multiple of 38 because 38 × 76 = 28880
29262926 is a multiple of 38 because 38 × 77 = 29260
29642964 is a multiple of 38 because 38 × 78 = 29640
30023002 is a multiple of 38 because 38 × 79 = 30020
30403040 is a multiple of 38 because 38 × 80 = 30400
30783078 is a multiple of 38 because 38 × 81 = 30780
31163116 is a multiple of 38 because 38 × 82 = 31160
31543154 is a multiple of 38 because 38 × 83 = 31540
31923192 is a multiple of 38 because 38 × 84 = 31920
32303230 is a multiple of 38 because 38 × 85 = 32300
32683268 is a multiple of 38 because 38 × 86 = 32680
33063306 is a multiple of 38 because 38 × 87 = 33060
33443344 is a multiple of 38 because 38 × 88 = 33440
33823382 is a multiple of 38 because 38 × 89 = 33820
34203420 is a multiple of 38 because 38 × 90 = 34200
34583458 is a multiple of 38 because 38 × 91 = 34580
34963496 is a multiple of 38 because 38 × 92 = 34960
35343534 is a multiple of 38 because 38 × 93 = 35340
35723572 is a multiple of 38 because 38 × 94 = 35720
36103610 is a multiple of 38 because 38 × 95 = 36100
36483648 is a multiple of 38 because 38 × 96 = 36480
36863686 is a multiple of 38 because 38 × 97 = 36860
37243724 is a multiple of 38 because 38 × 98 = 37240
37623762 is a multiple of 38 because 38 × 99 = 37620
38003800 is a multiple of 38 because 38 × 100 = 38000

Read More About Multiples of 38

Table of 38

Important Notes

  • Definition: Multiples of 38 are numbers that can be expressed as 38n, where n is an integer (positive, negative, or zero). Examples include 38, 76, 114, and so on.
  • Properties: All multiples of 38 are divisible by 38 without leaving any remainder. This means 38 is a factor and divisor of each of its multiples.
  • Sequence: The sequence of multiples of 38 is infinite and follows an arithmetic progression with a common difference of 38, starting from 0 (i.e., 0, 38, 76, 114, 152, …).
  • Applications: Multiples of 38 are used in solving problems related to least common multiples (LCM), greatest common divisors (GCD), and other areas of number theory and algebra.
  • Identifying Multiples: To check if a number is a multiple of 38, divide it by 38. If the result is an integer, then the number is a multiple of 38.

Examples on Multiples of 38

Simple Multiples

  • Calculation: 38×2 = 76
  • Calculation: 38×3 = 114
  • Calculation: 38×4 = 152

Larger Multiples

  • Calculation: 38×10 = 380
  • Calculation: 38×20 = 760

Real-Life Examples

  • Distance: A marathon is approximately 26.2 miles. If each segment of a race is 38 miles, the total distance covered in 26.2/38 = 0.69 segments.
  • Finance: If a person saves $38 each week, in 52 weeks (one year), the total savings would be 38×52 = 1976 dollars.
  • Time: If an event occurs every 38 minutes, after 5 hours (300 minutes), it would have occurred 300/38 = 7.89 times.

Practical Examples of Multiples of 38

What is the 15th multiple of 38?

Calculation: 38×15 = 570

Is 456 a multiple of 38?

Calculation: 456÷38 = 12

Yes, 456 is a multiple of 38 because 38×12 = 456.

What is the next multiple of 38 after 361?

Next multiple: 38×10 = 380

Find the 25th multiple of 38.

Calculation: 38×25 = 950

Is 1000 a multiple of 38?

Calculation: 1000÷38 = 26.32

No, 1000 is not a multiple of 38 because it does not result in an integer value.

FAQs

What are multiples of 38?

Multiples of 38 are numbers that can be expressed as 38 multiplied by an integer. For example, 38, 76, 114, and so on.

How do you find the multiples of 38?

To find the multiples of 38, multiply 38 by any integer (n). The first few multiples are 38 × 1 = 38, 38 × 2 = 76, 38 × 3 = 114, etc.

Is 76 a multiple of 38?

Yes, 76 is a multiple of 38 because 38 × 2 = 76.

Are all multiples of 38 even?

Yes, all multiples of 38 are even because 38 is an even number, and the product of an even number with any integer is always even.

What is the 10th multiple of 38?

The 10th multiple of 38 is 38 × 10 = 380.

Are multiples of 38 also multiples of 19?

Yes, multiples of 38 are also multiples of 19 because 38 is a multiple of 19 (38 = 19 × 2).

What is the least common multiple (LCM) of 38 and another number?

The least common multiple (LCM) of 38 and another number is the smallest number that is a multiple of both 38 and the other number.

How can you check if a number is a multiple of 38?

To check if a number is a multiple of 38, divide the number by 38. If the result is an integer with no remainder, then the number is a multiple of 38.

What are the first five multiples of 38?

The first five multiples of 38 are 38, 76, 114, 152, and 190.

Can multiples of 38 be negative?

Yes, multiples of 38 can be negative if you multiply 38 by a negative integer. For example, 38 × -1 = -38 and 38 × -2 = -76 are negative multiples of 38.

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