Q: What are the prime factors of the number 120,465,432?

 A: 2, 3, 1673131

Why are those the prime factors of the number 120,465,432?

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 120,465,432

120,465,432
Factor Arrows
260,232,716
Factor Arrows
230,116,358
Factor Arrows
215,058,179
Factor Arrows
35,019,393
Factor Arrows
31,673,131

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, 3, 1673131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,673,131 = 120,465,432

This can also be written as 23 x 32 x 1,673,1311 = 120,465,432

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


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