Q: What are the prime factors of the number 18,126,528?

 A: 2, 3, 7, 13487

Why are those the prime factors of the number 18,126,528?

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 18,126,528

18,126,528
Factor Arrows
29,063,264
Factor Arrows
24,531,632
Factor Arrows
22,265,816
Factor Arrows
21,132,908
Factor Arrows
2566,454
Factor Arrows
2283,227
Factor Arrows
394,409
Factor Arrows
713,487

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, 7, 13487

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 3 x 7 x 13,487 = 18,126,528

This can also be written as 26 x 31 x 71 x 13,4871 = 18,126,528

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


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