Q: What are the prime factors of the number 165,323,210?

 A: 2, 5, 13, 1271717

Why are those the prime factors of the number 165,323,210?

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 165,323,210

165,323,210
Factor Arrows
282,661,605
Factor Arrows
516,532,321
Factor Arrows
131,271,717

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, 13, 1271717

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 1,271,717 = 165,323,210

This can also be written as 21 x 51 x 131 x 1,271,7171 = 165,323,210

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


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