Q: What are the prime factors of the number 156,001,090?

 A: 2, 5, 7, 139, 16033

Why are those the prime factors of the number 156,001,090?

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 156,001,090

156,001,090
Factor Arrows
278,000,545
Factor Arrows
515,600,109
Factor Arrows
72,228,587
Factor Arrows
13916,033

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, 5, 7, 139, 16033

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 139 x 16,033 = 156,001,090

This can also be written as 21 x 51 x 71 x 1391 x 16,0331 = 156,001,090

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


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