Q: What are the prime factors of the number 845,299?

 A: 7, 13, 1327

Why are those the prime factors of the number 845,299?

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 845,299

845,299
Factor Arrows
7120,757
Factor Arrows
717,251
Factor Arrows
131,327

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:

7, 13, 1327

We can check our work by multiplying all of the prime factors together: 7 x 7 x 13 x 1,327 = 845,299

This can also be written as 72 x 131 x 1,3271 = 845,299

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


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