Q: What are the prime factors of the number 879,692?

 A: 2, 11, 19993

Why are those the prime factors of the number 879,692?

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 879,692

879,692
Factor Arrows
2439,846
Factor Arrows
2219,923
Factor Arrows
1119,993

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, 11, 19993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 19,993 = 879,692

This can also be written as 22 x 111 x 19,9931 = 879,692

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


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