Q: What are the prime factors of the number 798,192?

 A: 2, 3, 23, 241

Why are those the prime factors of the number 798,192?

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 798,192

798,192
Factor Arrows
2399,096
Factor Arrows
2199,548
Factor Arrows
299,774
Factor Arrows
249,887
Factor Arrows
316,629
Factor Arrows
35,543
Factor Arrows
23241

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, 23, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 23 x 241 = 798,192

This can also be written as 24 x 32 x 231 x 2411 = 798,192

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


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