Q: What are the prime factors of the number 144,142,128?

 A: 2, 3, 13, 5923

Why are those the prime factors of the number 144,142,128?

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 144,142,128

144,142,128
Factor Arrows
272,071,064
Factor Arrows
236,035,532
Factor Arrows
218,017,766
Factor Arrows
29,008,883
Factor Arrows
33,002,961
Factor Arrows
31,000,987
Factor Arrows
1376,999
Factor Arrows
135,923

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, 3, 13, 5923

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 13 x 13 x 5,923 = 144,142,128

This can also be written as 24 x 32 x 132 x 5,9231 = 144,142,128

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


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