Q: What are the prime factors of the number 760,046?

 A: 2, 7, 233

Why are those the prime factors of the number 760,046?

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 760,046

760,046
Factor Arrows
2380,023
Factor Arrows
754,289
Factor Arrows
233233

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, 7, 233

We can check our work by multiplying all of the prime factors together: 2 x 7 x 233 x 233 = 760,046

This can also be written as 21 x 71 x 2332 = 760,046

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


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