Q: What are the prime factors of the number 108,122,750?

 A: 2, 5, 432491

Why are those the prime factors of the number 108,122,750?

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 108,122,750

108,122,750
Factor Arrows
254,061,375
Factor Arrows
510,812,275
Factor Arrows
52,162,455
Factor Arrows
5432,491

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, 5, 432491

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 432,491 = 108,122,750

This can also be written as 21 x 53 x 432,4911 = 108,122,750

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


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