Q: What are the prime factors of the number 308,367?

 A: 3, 47

Why are those the prime factors of the number 308,367?

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 308,367

308,367
Factor Arrows
3102,789
Factor Arrows
334,263
Factor Arrows
311,421
Factor Arrows
33,807
Factor Arrows
31,269
Factor Arrows
3423
Factor Arrows
3141
Factor Arrows
347

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:

3, 47

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 47 = 308,367

This can also be written as 38 x 471 = 308,367

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


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