Q: What are the prime factors of the number 860,176?

 A: 2, 37, 1453

Why are those the prime factors of the number 860,176?

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 860,176

860,176
Factor Arrows
2430,088
Factor Arrows
2215,044
Factor Arrows
2107,522
Factor Arrows
253,761
Factor Arrows
371,453

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, 37, 1453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 1,453 = 860,176

This can also be written as 24 x 371 x 1,4531 = 860,176

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


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