Q: What are the prime factors of the number 31,443,176?

 A: 2, 19, 31, 6673

Why are those the prime factors of the number 31,443,176?

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 31,443,176

31,443,176
Factor Arrows
215,721,588
Factor Arrows
27,860,794
Factor Arrows
23,930,397
Factor Arrows
19206,863
Factor Arrows
316,673

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, 19, 31, 6673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 31 x 6,673 = 31,443,176

This can also be written as 23 x 191 x 311 x 6,6731 = 31,443,176

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


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