Q: What are the prime factors of the number 183,084,112?

 A: 2, 1163, 9839

Why are those the prime factors of the number 183,084,112?

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 183,084,112

183,084,112
Factor Arrows
291,542,056
Factor Arrows
245,771,028
Factor Arrows
222,885,514
Factor Arrows
211,442,757
Factor Arrows
1,1639,839

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, 1163, 9839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,163 x 9,839 = 183,084,112

This can also be written as 24 x 1,1631 x 9,8391 = 183,084,112

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


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