Q: What are the prime factors of the number 375,286,352?

 A: 2, 7, 47, 71293

Why are those the prime factors of the number 375,286,352?

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 375,286,352

375,286,352
Factor Arrows
2187,643,176
Factor Arrows
293,821,588
Factor Arrows
246,910,794
Factor Arrows
223,455,397
Factor Arrows
73,350,771
Factor Arrows
4771,293

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, 7, 47, 71293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 47 x 71,293 = 375,286,352

This can also be written as 24 x 71 x 471 x 71,2931 = 375,286,352

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


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