Q: What are the prime factors of the number 22,015,136?

 A: 2, 11, 13, 17, 283

Why are those the prime factors of the number 22,015,136?

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 22,015,136

22,015,136
Factor Arrows
211,007,568
Factor Arrows
25,503,784
Factor Arrows
22,751,892
Factor Arrows
21,375,946
Factor Arrows
2687,973
Factor Arrows
1162,543
Factor Arrows
134,811
Factor Arrows
17283

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, 13, 17, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 13 x 17 x 283 = 22,015,136

This can also be written as 25 x 111 x 131 x 171 x 2831 = 22,015,136

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


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