Q: What are the prime factors of the number 6,375,294?

 A: 2, 3, 118061

Why are those the prime factors of the number 6,375,294?

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 6,375,294

6,375,294
Factor Arrows
23,187,647
Factor Arrows
31,062,549
Factor Arrows
3354,183
Factor Arrows
3118,061

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, 118061

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 118,061 = 6,375,294

This can also be written as 21 x 33 x 118,0611 = 6,375,294

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


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