Q: What are the prime factors of the number 11,615,168?

 A: 2, 97, 1871

Why are those the prime factors of the number 11,615,168?

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 11,615,168

11,615,168
Factor Arrows
25,807,584
Factor Arrows
22,903,792
Factor Arrows
21,451,896
Factor Arrows
2725,948
Factor Arrows
2362,974
Factor Arrows
2181,487
Factor Arrows
971,871

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, 97, 1871

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 97 x 1,871 = 11,615,168

This can also be written as 26 x 971 x 1,8711 = 11,615,168

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


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