Q: What are the prime factors of the number 183,084,117?

 A: 3, 23, 197, 13469

Why are those the prime factors of the number 183,084,117?

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 183,084,117

183,084,117
Factor Arrows
361,028,039
Factor Arrows
232,653,393
Factor Arrows
19713,469

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:

3, 23, 197, 13469

We can check our work by multiplying all of the prime factors together: 3 x 23 x 197 x 13,469 = 183,084,117

This can also be written as 31 x 231 x 1971 x 13,4691 = 183,084,117

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


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