Q: What are the prime factors of the number 350,115,124?

 A: 2, 127, 193, 3571

Why are those the prime factors of the number 350,115,124?

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 350,115,124

350,115,124
Factor Arrows
2175,057,562
Factor Arrows
287,528,781
Factor Arrows
127689,203
Factor Arrows
1933,571

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, 127, 193, 3571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 127 x 193 x 3,571 = 350,115,124

This can also be written as 22 x 1271 x 1931 x 3,5711 = 350,115,124

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


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