Q: What are the prime factors of the number 723,572,332?

 A: 2, 7, 47, 197, 2791

Why are those the prime factors of the number 723,572,332?

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 723,572,332

723,572,332
Factor Arrows
2361,786,166
Factor Arrows
2180,893,083
Factor Arrows
725,841,869
Factor Arrows
47549,827
Factor Arrows
1972,791

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, 7, 47, 197, 2791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 47 x 197 x 2,791 = 723,572,332

This can also be written as 22 x 71 x 471 x 1971 x 2,7911 = 723,572,332

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


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