Q: What are the prime factors of the number 795,618?

 A: 2, 3, 44201

Why are those the prime factors of the number 795,618?

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 795,618

795,618
Factor Arrows
2397,809
Factor Arrows
3132,603
Factor Arrows
344,201

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, 44201

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 44,201 = 795,618

This can also be written as 21 x 32 x 44,2011 = 795,618

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


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