Q: What are the prime factors of the number 160,566,656?

 A: 2, 1254427

Why are those the prime factors of the number 160,566,656?

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 160,566,656

160,566,656
Factor Arrows
280,283,328
Factor Arrows
240,141,664
Factor Arrows
220,070,832
Factor Arrows
210,035,416
Factor Arrows
25,017,708
Factor Arrows
22,508,854
Factor Arrows
21,254,427

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, 1254427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,254,427 = 160,566,656

This can also be written as 27 x 1,254,4271 = 160,566,656

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


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