Q: What are the prime factors of the number 176,567,562?

 A: 2, 3, 2267, 4327

Why are those the prime factors of the number 176,567,562?

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 176,567,562

176,567,562
Factor Arrows
288,283,781
Factor Arrows
329,427,927
Factor Arrows
39,809,309
Factor Arrows
2,2674,327

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, 3, 2267, 4327

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 2,267 x 4,327 = 176,567,562

This can also be written as 21 x 32 x 2,2671 x 4,3271 = 176,567,562

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


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