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2.4 Find Multiples and Factors

Listing multiples, divisibility tests for 2, 3, 5, 6, and 10, finding every factor of a number, and separating primes from composites.

Prealgebra 2e, 2.4 Find Multiples and Factors

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49 exercises

2.4 Exercise 1

Before you get started, take this readiness quiz.

Which of the following numbers are counting numbers (natural numbers)?
0,4,2150 , 4 , 215
If you missed this problem, review the reference.

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2.4 Exercise 2

Find the sum of 3,5,3 , 5 , and 7.7 .
If you missed the problem, review the reference.

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2.4 Exercise 3

Determine whether each of the following is a multiple of 2:2 :

  1. ⓐ 489489
  2. ⓑ 3,7143,714

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2.4 Exercise 4

Determine whether each number is a multiple of 2:2 :

  1. ⓐ 678678
  2. ⓑ 21,49321,493

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2.4 Exercise 5

Determine whether each number is a multiple of 2:2 :

  1. ⓐ 979 979
  2. ⓑ 17,78017,780

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2.4 Exercise 6

Determine whether each of the following is a multiple of 5:5 :

  1. ⓐ 579 579
  2. ⓑ 880880

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2.4 Exercise 7

Determine whether each number is a multiple of 5.5 .

  1. ⓐ 675675
  2. ⓑ 1,5781,578

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2.4 Exercise 8

Determine whether each number is a multiple of 5.5 .

  1. ⓐ 421 421
  2. ⓑ 2,6902,690

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2.4 Exercise 9

Determine whether each of the following is a multiple of 10:10 :

  1. ⓐ 425425
  2. ⓑ 350350

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2.4 Exercise 10

Determine whether each number is a multiple of 10:10 :

  1. ⓐ 179179
  2. ⓑ 3,5403,540

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2.4 Exercise 11

Determine whether each number is a multiple of 10:10 :

  1. ⓐ 110 110
  2. ⓑ 7,5957,595

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2.4 Exercise 12

Determine whether each of the given numbers is a multiple of 3:3 :

  1. ⓐ 645 645
  2. ⓑ 10,51910,519

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2.4 Exercise 13

Determine whether each number is a multiple of 3:3 :

  1. ⓐ 954 954
  2. ⓑ 3,7423,742

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2.4 Exercise 14

Determine whether each number is a multiple of 3:3 :

  1. ⓐ 643 643
  2. ⓑ 8,3798,379

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2.4 Exercise 15

Determine whether 1,2901,290 is divisible by 2,3,5,and10.2 , 3 , 5 , \text{and} 10 .

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2.4 Exercise 16

Determine whether the given number is divisible by 2,3,5,and10.2 , 3 , 5 , \text{and} 10 .

62406240

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2.4 Exercise 17

Determine whether the given number is divisible by 2,3,5,and10.2 , 3 , 5 , \text{and} 10 .

72487248

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2.4 Exercise 18

Determine whether 5,6255,625 is divisible by 2,3,5,and10.2 , 3 , 5 , \text{and} 10 .

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2.4 Exercise 19

Determine whether the given number is divisible by2,3,5,and10.\text{by} 2 , 3 , 5 , \text{and} 10 .

49624962

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2.4 Exercise 20

Determine whether the given number is divisible by2,3,5,and10.\text{by} 2 , 3 , 5 , \text{and} 10 .

37653765

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2.4 Exercise 22

Find all the factors of the given number:

9696

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2.4 Exercise 23

Find all the factors of the given number:

8080

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2.4 Exercise 24

Identify each number as prime or composite:

  1. ⓐ 8383
  2. ⓑ 7777

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2.4 Exercise 25

Identify the number as prime or composite:

9191

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2.4 Exercise 26

Identify the number as prime or composite:

137137

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2.4 Exercise 27

List all the multiples less than 5050 for the given number.

22

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2.4 Exercise 29

List all the multiples less than 5050 for the given number.

44

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2.4 Exercise 31

List all the multiples less than 5050 for the given number.

66

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2.4 Exercise 33

List all the multiples less than 5050 for the given number.

88

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2.4 Exercise 35

List all the multiples less than 5050 for the given number.

1010

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2.4 Exercise 37

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

8484

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2.4 Exercise 39

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

7575

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2.4 Exercise 41

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

168168

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2.4 Exercise 43

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

900900

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2.4 Exercise 45

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

896896

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2.4 Exercise 47

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

375375

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2.4 Exercise 49

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

350350

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2.4 Exercise 51

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

14301430

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2.4 Exercise 53

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6,and10.2 , 3 , 4 , 5 , 6 , \text{and} 10 .

22,33522,335

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2.4 Exercise 55

Find all the factors of the given number.

3636

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2.4 Exercise 57

Find all the factors of the given number.

6060

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2.4 Exercise 59

Find all the factors of the given number.

144144

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2.4 Exercise 61

Find all the factors of the given number.

588588

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2.4 Exercise 63

Determine if the given number is prime or composite.

4343

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2.4 Exercise 65

Determine if the given number is prime or composite.

3939

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2.4 Exercise 67

Determine if the given number is prime or composite.

7171

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2.4 Exercise 69

Determine if the given number is prime or composite.

481481

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2.4 Exercise 71

Determine if the given number is prime or composite.

209209

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2.4 Exercise 73

Determine if the given number is prime or composite.

667667

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Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.