Q: What are the prime factors of the number 1,776,832?

 A: 2, 27763

Why are those the prime factors of the number 1,776,832?

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 1,776,832

1,776,832
Factor Arrows
2888,416
Factor Arrows
2444,208
Factor Arrows
2222,104
Factor Arrows
2111,052
Factor Arrows
255,526
Factor Arrows
227,763

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, 27763

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 27,763 = 1,776,832

This can also be written as 26 x 27,7631 = 1,776,832

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


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