Q: What are the prime factors of the number 860,240?

 A: 2, 5, 10753

Why are those the prime factors of the number 860,240?

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 860,240

860,240
Factor Arrows
2430,120
Factor Arrows
2215,060
Factor Arrows
2107,530
Factor Arrows
253,765
Factor Arrows
510,753

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, 10753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 10,753 = 860,240

This can also be written as 24 x 51 x 10,7531 = 860,240

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


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