Q: What are the prime factors of the number 712,205,552?

 A: 2, 113, 393919

Why are those the prime factors of the number 712,205,552?

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 712,205,552

712,205,552
Factor Arrows
2356,102,776
Factor Arrows
2178,051,388
Factor Arrows
289,025,694
Factor Arrows
244,512,847
Factor Arrows
113393,919

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, 113, 393919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 113 x 393,919 = 712,205,552

This can also be written as 24 x 1131 x 393,9191 = 712,205,552

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


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