Q: What are the prime factors of the number 146,177,272?

 A: 2, 18272159

Why are those the prime factors of the number 146,177,272?

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 146,177,272

146,177,272
Factor Arrows
273,088,636
Factor Arrows
236,544,318
Factor Arrows
218,272,159

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, 18272159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 18,272,159 = 146,177,272

This can also be written as 23 x 18,272,1591 = 146,177,272

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


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