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23 May, 20:51

Alice wants to find all the prime factors of the number you get when you multiply 17•11•13•7. She thinks she has to use a calculator to pay Sam although multiplications and then find the prime factorization of the resulting number. Do you agree? Why or why not?

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  1. 23 May, 21:19
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    No. Calculator is not needed.

    17, 11, 13, and 7 are all prime numbers. They are already the prime factors of the product.

    A prime number is a number that can be divided evenly by 1 or itself.

    17 : 1 = 17; 17 : 17 = 1 * prime number

    11 : 1 = 11; 11 : 11 = 1 * prime number

    13 : 1 = 13; 13 : 13 = 1 * prime number

    7 : 1 = 7; 7 : 7 = 1 * prime number

    Prime factorization is finding which prime numbers multiply together to make the original numbers. Since the prime factors have been given, using a calculator to multiply the prime factors to find the prime factorization is no longer needed.
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