Q: What are the prime factors of the number 720,201,252?

 A: 2, 3, 127, 472573

Why are those the prime factors of the number 720,201,252?

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 720,201,252

720,201,252
Factor Arrows
2360,100,626
Factor Arrows
2180,050,313
Factor Arrows
360,016,771
Factor Arrows
127472,573

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, 127, 472573

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 127 x 472,573 = 720,201,252

This can also be written as 22 x 31 x 1271 x 472,5731 = 720,201,252

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


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