Q: What are the prime factors of the number 153,144,508?

 A: 2, 11, 239, 14563

Why are those the prime factors of the number 153,144,508?

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 153,144,508

153,144,508
Factor Arrows
276,572,254
Factor Arrows
238,286,127
Factor Arrows
113,480,557
Factor Arrows
23914,563

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, 11, 239, 14563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 239 x 14,563 = 153,144,508

This can also be written as 22 x 111 x 2391 x 14,5631 = 153,144,508

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


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