Q: What are the prime factors of the number 772,044?

 A: 2, 3, 7, 13, 101

Why are those the prime factors of the number 772,044?

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 772,044

772,044
Factor Arrows
2386,022
Factor Arrows
2193,011
Factor Arrows
364,337
Factor Arrows
79,191
Factor Arrows
71,313
Factor Arrows
13101

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, 3, 7, 13, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 13 x 101 = 772,044

This can also be written as 22 x 31 x 72 x 131 x 1011 = 772,044

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


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