Q: What are the prime factors of the number 176,721,056?

 A: 2, 43, 128431

Why are those the prime factors of the number 176,721,056?

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 176,721,056

176,721,056
Factor Arrows
288,360,528
Factor Arrows
244,180,264
Factor Arrows
222,090,132
Factor Arrows
211,045,066
Factor Arrows
25,522,533
Factor Arrows
43128,431

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, 43, 128431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 128,431 = 176,721,056

This can also be written as 25 x 431 x 128,4311 = 176,721,056

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


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