Q: What are the prime factors of the number 144,502,112?

 A: 2, 4515691

Why are those the prime factors of the number 144,502,112?

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 144,502,112

144,502,112
Factor Arrows
272,251,056
Factor Arrows
236,125,528
Factor Arrows
218,062,764
Factor Arrows
29,031,382
Factor Arrows
24,515,691

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, 4515691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 4,515,691 = 144,502,112

This can also be written as 25 x 4,515,6911 = 144,502,112

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


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