Q: What are the prime factors of the number 710,810,432?

 A: 2, 179, 62047

Why are those the prime factors of the number 710,810,432?

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 710,810,432

710,810,432
Factor Arrows
2355,405,216
Factor Arrows
2177,702,608
Factor Arrows
288,851,304
Factor Arrows
244,425,652
Factor Arrows
222,212,826
Factor Arrows
211,106,413
Factor Arrows
17962,047

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, 179, 62047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 179 x 62,047 = 710,810,432

This can also be written as 26 x 1791 x 62,0471 = 710,810,432

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


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