Q: What are the prime factors of the number 176,661,252?

 A: 2, 3, 23, 213359

Why are those the prime factors of the number 176,661,252?

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 176,661,252

176,661,252
Factor Arrows
288,330,626
Factor Arrows
244,165,313
Factor Arrows
314,721,771
Factor Arrows
34,907,257
Factor Arrows
23213,359

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, 23, 213359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 23 x 213,359 = 176,661,252

This can also be written as 22 x 32 x 231 x 213,3591 = 176,661,252

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


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