Q: What are the prime factors of the number 156,126,568?

 A: 2, 13, 1501217

Why are those the prime factors of the number 156,126,568?

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 156,126,568

156,126,568
Factor Arrows
278,063,284
Factor Arrows
239,031,642
Factor Arrows
219,515,821
Factor Arrows
131,501,217

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, 13, 1501217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 1,501,217 = 156,126,568

This can also be written as 23 x 131 x 1,501,2171 = 156,126,568

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


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