Q: What are the prime factors of the number 11,145,772?

 A: 2, 11, 43, 137

Why are those the prime factors of the number 11,145,772?

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 11,145,772

11,145,772
Factor Arrows
25,572,886
Factor Arrows
22,786,443
Factor Arrows
11253,313
Factor Arrows
435,891
Factor Arrows
43137

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, 43, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 43 x 43 x 137 = 11,145,772

This can also be written as 22 x 111 x 432 x 1371 = 11,145,772

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


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