Q: What are the prime factors of the number 11,168,368?

 A: 2, 61, 11443

Why are those the prime factors of the number 11,168,368?

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 11,168,368

11,168,368
Factor Arrows
25,584,184
Factor Arrows
22,792,092
Factor Arrows
21,396,046
Factor Arrows
2698,023
Factor Arrows
6111,443

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, 61, 11443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61 x 11,443 = 11,168,368

This can also be written as 24 x 611 x 11,4431 = 11,168,368

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


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