Q: What are the prime factors of the number 11,832,776?

 A: 2, 157, 9421

Why are those the prime factors of the number 11,832,776?

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 11,832,776

11,832,776
Factor Arrows
25,916,388
Factor Arrows
22,958,194
Factor Arrows
21,479,097
Factor Arrows
1579,421

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, 157, 9421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 157 x 9,421 = 11,832,776

This can also be written as 23 x 1571 x 9,4211 = 11,832,776

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


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