Q: What are the prime factors of the number 421,324,119?

 A: 3, 15604597

Why are those the prime factors of the number 421,324,119?

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 421,324,119

421,324,119
Factor Arrows
3140,441,373
Factor Arrows
346,813,791
Factor Arrows
315,604,597

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:

3, 15604597

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 15,604,597 = 421,324,119

This can also be written as 33 x 15,604,5971 = 421,324,119

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


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