Q: What are the prime factors of the number 1,175,800?

 A: 2, 5, 5879

Why are those the prime factors of the number 1,175,800?

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 1,175,800

1,175,800
Factor Arrows
2587,900
Factor Arrows
2293,950
Factor Arrows
2146,975
Factor Arrows
529,395
Factor Arrows
55,879

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, 5879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5,879 = 1,175,800

This can also be written as 23 x 52 x 5,8791 = 1,175,800

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


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