Q: What are the prime factors of the number 120,210,196?

 A: 2, 17, 41, 43117

Why are those the prime factors of the number 120,210,196?

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 120,210,196

120,210,196
Factor Arrows
260,105,098
Factor Arrows
230,052,549
Factor Arrows
171,767,797
Factor Arrows
4143,117

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, 17, 41, 43117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 41 x 43,117 = 120,210,196

This can also be written as 22 x 171 x 411 x 43,1171 = 120,210,196

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


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