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11 July, 18:29

a number is written in the following factorization 2x4x5. is the factorization a prime factorization? explain why or why not. if it isn't correct give the correct prime factorization of the number

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  1. 11 July, 19:50
    0
    Th correct factorization is 2x2x2x5, as that is the only way to multiply all primes and get 40
  2. 11 July, 20:29
    0
    Factor the following integer:

    40

    The last digit of 40 is 0, which means it is even. Therefore 40 is divisible by 2:

    40 = 2 20:

    40 = 2*20

    The last digit of 20 is 0, which means it is even. Therefore 20 is divisible by 2:

    20 = 2 10:

    40 = 2*2*10

    The last digit of 10 is 0, which means it is even. Therefore 10 is divisible by 2:

    10 = 2 5:

    40 = 2*2*2*5

    5 is not divisible by 2 since 5 is odd and 2 is even:

    40 = 2*2*2*5 (5 is not divisible by 2)

    Divide 3 into 5:

    | 1 | (quotient)

    3 | 5 |

    - | 3 |

    | 2 | (remainder)

    5 is not divisible by 3:

    40 = 2*2*2*5 (5 is not divisible by 2 or 3)

    No primes less than 5 divide into it. Therefore 5 is prime:

    40 = 2*2*2*5

    There are 3 copies of 2 and 1 copy of 5 in the product:

    Answer: 40 = 2^3*5
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