Q: What are the prime factors of the number 144,375,458?

 A: 2, 17, 73, 58169

Why are those the prime factors of the number 144,375,458?

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 144,375,458

144,375,458
Factor Arrows
272,187,729
Factor Arrows
174,246,337
Factor Arrows
7358,169

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, 17, 73, 58169

We can check our work by multiplying all of the prime factors together: 2 x 17 x 73 x 58,169 = 144,375,458

This can also be written as 21 x 171 x 731 x 58,1691 = 144,375,458

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


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