Q: What are the prime factors of the number 838,680?

 A: 2, 3, 5, 29, 241

Why are those the prime factors of the number 838,680?

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 838,680

838,680
Factor Arrows
2419,340
Factor Arrows
2209,670
Factor Arrows
2104,835
Factor Arrows
334,945
Factor Arrows
56,989
Factor Arrows
29241

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, 5, 29, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 29 x 241 = 838,680

This can also be written as 23 x 31 x 51 x 291 x 2411 = 838,680

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


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