Q: What are the prime factors of the number 183,624?

 A: 2, 3, 7, 1093

Why are those the prime factors of the number 183,624?

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 183,624

183,624
Factor Arrows
291,812
Factor Arrows
245,906
Factor Arrows
222,953
Factor Arrows
37,651
Factor Arrows
71,093

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, 7, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 1,093 = 183,624

This can also be written as 23 x 31 x 71 x 1,0931 = 183,624

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


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