Q: What are the prime factors of the number 176,026,045?

 A: 5, 13, 47, 157, 367

Why are those the prime factors of the number 176,026,045?

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 176,026,045

176,026,045
Factor Arrows
535,205,209
Factor Arrows
132,708,093
Factor Arrows
4757,619
Factor Arrows
157367

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:

5, 13, 47, 157, 367

We can check our work by multiplying all of the prime factors together: 5 x 13 x 47 x 157 x 367 = 176,026,045

This can also be written as 51 x 131 x 471 x 1571 x 3671 = 176,026,045

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


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