Q: What are the prime factors of the number 183,208,060?

 A: 2, 5, 7, 186947

Why are those the prime factors of the number 183,208,060?

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 183,208,060

183,208,060
Factor Arrows
291,604,030
Factor Arrows
245,802,015
Factor Arrows
59,160,403
Factor Arrows
71,308,629
Factor Arrows
7186,947

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, 7, 186947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 186,947 = 183,208,060

This can also be written as 22 x 51 x 72 x 186,9471 = 183,208,060

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


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