Q: What are the prime factors of the number 146,184,052?

 A: 2, 7, 745837

Why are those the prime factors of the number 146,184,052?

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 146,184,052

146,184,052
Factor Arrows
273,092,026
Factor Arrows
236,546,013
Factor Arrows
75,220,859
Factor Arrows
7745,837

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, 7, 745837

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 745,837 = 146,184,052

This can also be written as 22 x 72 x 745,8371 = 146,184,052

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


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