Q: What are the prime factors of the number 747,273,224?

 A: 2, 93409153

Why are those the prime factors of the number 747,273,224?

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 747,273,224

747,273,224
Factor Arrows
2373,636,612
Factor Arrows
2186,818,306
Factor Arrows
293,409,153

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, 93409153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 93,409,153 = 747,273,224

This can also be written as 23 x 93,409,1531 = 747,273,224

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


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