Q: What are the prime factors of the number 375,573,176?

 A: 2, 11, 1231, 3467

Why are those the prime factors of the number 375,573,176?

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 375,573,176

375,573,176
Factor Arrows
2187,786,588
Factor Arrows
293,893,294
Factor Arrows
246,946,647
Factor Arrows
114,267,877
Factor Arrows
1,2313,467

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, 11, 1231, 3467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 1,231 x 3,467 = 375,573,176

This can also be written as 23 x 111 x 1,2311 x 3,4671 = 375,573,176

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


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