Q: What are the prime factors of the number 187,650,729?

 A: 3, 7, 992861

Why are those the prime factors of the number 187,650,729?

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 187,650,729

187,650,729
Factor Arrows
362,550,243
Factor Arrows
320,850,081
Factor Arrows
36,950,027
Factor Arrows
7992,861

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, 7, 992861

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 992,861 = 187,650,729

This can also be written as 33 x 71 x 992,8611 = 187,650,729

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


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