Q: What are the prime factors of the number 355,573,656?

 A: 2, 3, 73, 67651

Why are those the prime factors of the number 355,573,656?

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 355,573,656

355,573,656
Factor Arrows
2177,786,828
Factor Arrows
288,893,414
Factor Arrows
244,446,707
Factor Arrows
314,815,569
Factor Arrows
34,938,523
Factor Arrows
7367,651

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, 3, 73, 67651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 73 x 67,651 = 355,573,656

This can also be written as 23 x 32 x 731 x 67,6511 = 355,573,656

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


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