Q: What are the prime factors of the number 11,012,416?

 A: 2, 172069

Why are those the prime factors of the number 11,012,416?

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 11,012,416

11,012,416
Factor Arrows
25,506,208
Factor Arrows
22,753,104
Factor Arrows
21,376,552
Factor Arrows
2688,276
Factor Arrows
2344,138
Factor Arrows
2172,069

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, 172069

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 172,069 = 11,012,416

This can also be written as 26 x 172,0691 = 11,012,416

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


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