Q: What are the prime factors of the number 11,105,796?

 A: 2, 3, 13, 71191

Why are those the prime factors of the number 11,105,796?

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 11,105,796

11,105,796
Factor Arrows
25,552,898
Factor Arrows
22,776,449
Factor Arrows
3925,483
Factor Arrows
1371,191

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, 13, 71191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 71,191 = 11,105,796

This can also be written as 22 x 31 x 131 x 71,1911 = 11,105,796

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


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