Q: What are the prime factors of the number 120,520,572?

 A: 2, 3, 19, 43, 647

Why are those the prime factors of the number 120,520,572?

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 120,520,572

120,520,572
Factor Arrows
260,260,286
Factor Arrows
230,130,143
Factor Arrows
310,043,381
Factor Arrows
19528,599
Factor Arrows
1927,821
Factor Arrows
43647

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, 19, 43, 647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 19 x 43 x 647 = 120,520,572

This can also be written as 22 x 31 x 192 x 431 x 6471 = 120,520,572

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


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