Q: What are the prime factors of the number 18,158,496?

 A: 2, 3, 189151

Why are those the prime factors of the number 18,158,496?

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 18,158,496

18,158,496
Factor Arrows
29,079,248
Factor Arrows
24,539,624
Factor Arrows
22,269,812
Factor Arrows
21,134,906
Factor Arrows
2567,453
Factor Arrows
3189,151

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, 189151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 189,151 = 18,158,496

This can also be written as 25 x 31 x 189,1511 = 18,158,496

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


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