Q: What are the prime factors of the number 773,721,232?

 A: 2, 2207, 21911

Why are those the prime factors of the number 773,721,232?

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 773,721,232

773,721,232
Factor Arrows
2386,860,616
Factor Arrows
2193,430,308
Factor Arrows
296,715,154
Factor Arrows
248,357,577
Factor Arrows
2,20721,911

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, 2207, 21911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,207 x 21,911 = 773,721,232

This can also be written as 24 x 2,2071 x 21,9111 = 773,721,232

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


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