Q: What are the prime factors of the number 149,446,863?

 A: 3, 1845023

Why are those the prime factors of the number 149,446,863?

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 149,446,863

149,446,863
Factor Arrows
349,815,621
Factor Arrows
316,605,207
Factor Arrows
35,535,069
Factor Arrows
31,845,023

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, 1845023

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 1,845,023 = 149,446,863

This can also be written as 34 x 1,845,0231 = 149,446,863

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


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