Q: What are the prime factors of the number 647,665,546?

 A: 2, 11, 47, 13327

Why are those the prime factors of the number 647,665,546?

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 647,665,546

647,665,546
Factor Arrows
2323,832,773
Factor Arrows
1129,439,343
Factor Arrows
47626,369
Factor Arrows
4713,327

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:

2, 11, 47, 13327

We can check our work by multiplying all of the prime factors together: 2 x 11 x 47 x 47 x 13,327 = 647,665,546

This can also be written as 21 x 111 x 472 x 13,3271 = 647,665,546

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


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