Q: What are the prime factors of the number 1,701,696?

 A: 2, 3, 8863

Why are those the prime factors of the number 1,701,696?

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 1,701,696

1,701,696
Factor Arrows
2850,848
Factor Arrows
2425,424
Factor Arrows
2212,712
Factor Arrows
2106,356
Factor Arrows
253,178
Factor Arrows
226,589
Factor Arrows
38,863

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, 8863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 8,863 = 1,701,696

This can also be written as 26 x 31 x 8,8631 = 1,701,696

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


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