Q: What are the prime factors of the number 65,647,605?

 A: 3, 5, 67, 83, 787

Why are those the prime factors of the number 65,647,605?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 65,647,605

65,647,605
Factor Arrows
321,882,535
Factor Arrows
54,376,507
Factor Arrows
6765,321
Factor Arrows
83787

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 67, 83, 787

We can check our work by multiplying all of the prime factors together: 3 x 5 x 67 x 83 x 787 = 65,647,605

This can also be written as 31 x 51 x 671 x 831 x 7871 = 65,647,605

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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