Q: What are the prime factors of the number 120,421,032?

 A: 2, 3, 773, 6491

Why are those the prime factors of the number 120,421,032?

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 120,421,032

120,421,032
Factor Arrows
260,210,516
Factor Arrows
230,105,258
Factor Arrows
215,052,629
Factor Arrows
35,017,543
Factor Arrows
7736,491

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, 773, 6491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 773 x 6,491 = 120,421,032

This can also be written as 23 x 31 x 7731 x 6,4911 = 120,421,032

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


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