Q: What are the prime factors of the number 18,334,036?

 A: 2, 7, 23, 83

Why are those the prime factors of the number 18,334,036?

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 18,334,036

18,334,036
Factor Arrows
29,167,018
Factor Arrows
24,583,509
Factor Arrows
7654,787
Factor Arrows
793,541
Factor Arrows
713,363
Factor Arrows
71,909
Factor Arrows
2383

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, 7, 23, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 7 x 23 x 83 = 18,334,036

This can also be written as 22 x 74 x 231 x 831 = 18,334,036

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


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