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Find out whether the first number is a factor of the second number. 4. Find the common factors of the following.

Mathematics

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3. Find out whether the first number is a factor of the second number.

a) 15, 225

  1. Divide the second number by the first number.

    22515=15\frac{225}{15} = 15

    Since the remainder is 0, the first number is a factor of the second number.
    Answer: Yes\boxed{\text{Yes}}

    b) 32, 800

  2. Divide the second number by the first number.

    80032=25\frac{800}{32} = 25

    Since the remainder is 0, the first number is a factor of the second number.
    Answer: Yes\boxed{\text{Yes}}

    c) 29, 581

  3. Divide the second number by the first number.

    58129=20 with a remainder of 21\frac{581}{29} = 20 \text{ with a remainder of } 21

    Since the remainder is not 0, the first number is not a factor of the second number.
    Answer: No\boxed{\text{No}}

    d) 42, 2772

  4. Divide the second number by the first number.

    277242=66\frac{2772}{42} = 66

    Since the remainder is 0, the first number is a factor of the second number.
    Answer: Yes\boxed{\text{Yes}}

    4. Find the common factors of the following.

    a) 8 and 12

  5. List the factors of each number.

    Factors of 8: $1, 2, 4, 8$
    Factors of 12: $1, 2, 3, 4, 6, 12$

  6. Identify the common factors.

    Answer: 1,2,4\boxed{1, 2, 4}

    b) 24 and 36

  7. List the factors of each number.

    Factors of 24: $1, 2, 3, 4, 6, 8, 12, 24$
    Factors of 36: $1, 2, 3, 4, 6, 9, 12, 18, 36$

  8. Identify the common factors.

    Answer: 1,2,3,4,6,12\boxed{1, 2, 3, 4, 6, 12}

    c) 8, 18 and 52

  9. List the factors of each number.

    Factors of 8: $1, 2, 4, 8$
    Factors of 18: $1, 2, 3, 6, 9, 18$
    Factors of 52: $1, 2, 4, 13, 26, 52$

  10. Identify the common factors.

    Answer: 1,2\boxed{1, 2}

    d) 9, 27 and 81

  11. List the factors of each number.

    Factors of 9: $1, 3, 9$
    Factors of 27: $1, 3, 9, 27$
    Factors of 81: $1, 3, 9, 27, 81$

  12. Identify the common factors.

    Answer: 1,3,9\boxed{1, 3, 9}

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