Q: What are the prime factors of the number 137,355,869?

 A: 7, 17, 164893

Why are those the prime factors of the number 137,355,869?

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 137,355,869

137,355,869
Factor Arrows
719,622,267
Factor Arrows
72,803,181
Factor Arrows
17164,893

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:

7, 17, 164893

We can check our work by multiplying all of the prime factors together: 7 x 7 x 17 x 164,893 = 137,355,869

This can also be written as 72 x 171 x 164,8931 = 137,355,869

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


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