Q: What are the prime factors of the number 351,105,252?

 A: 2, 3, 199, 147029

Why are those the prime factors of the number 351,105,252?

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 351,105,252

351,105,252
Factor Arrows
2175,552,626
Factor Arrows
287,776,313
Factor Arrows
329,258,771
Factor Arrows
199147,029

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, 199, 147029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 199 x 147,029 = 351,105,252

This can also be written as 22 x 31 x 1991 x 147,0291 = 351,105,252

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


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