Q: What are the prime factors of the number 731,447,120?

 A: 2, 5, 311, 29399

Why are those the prime factors of the number 731,447,120?

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 731,447,120

731,447,120
Factor Arrows
2365,723,560
Factor Arrows
2182,861,780
Factor Arrows
291,430,890
Factor Arrows
245,715,445
Factor Arrows
59,143,089
Factor Arrows
31129,399

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, 5, 311, 29399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 311 x 29,399 = 731,447,120

This can also be written as 24 x 51 x 3111 x 29,3991 = 731,447,120

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


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