Q: What are the prime factors of the number 834,860?

 A: 2, 5, 13, 19

Why are those the prime factors of the number 834,860?

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 834,860

834,860
Factor Arrows
2417,430
Factor Arrows
2208,715
Factor Arrows
541,743
Factor Arrows
133,211
Factor Arrows
13247
Factor Arrows
1319

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, 5, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 13 x 13 x 19 = 834,860

This can also be written as 22 x 51 x 133 x 191 = 834,860

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


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