Q: What are the prime factors of the number 932,426?

 A: 2, 11, 3853

Why are those the prime factors of the number 932,426?

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 932,426

932,426
Factor Arrows
2466,213
Factor Arrows
1142,383
Factor Arrows
113,853

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, 3853

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 3,853 = 932,426

This can also be written as 21 x 112 x 3,8531 = 932,426

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


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