Q: What are the prime factors of the number 154,203,536?

 A: 2, 89, 108289

Why are those the prime factors of the number 154,203,536?

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 154,203,536

154,203,536
Factor Arrows
277,101,768
Factor Arrows
238,550,884
Factor Arrows
219,275,442
Factor Arrows
29,637,721
Factor Arrows
89108,289

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, 89, 108289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 89 x 108,289 = 154,203,536

This can also be written as 24 x 891 x 108,2891 = 154,203,536

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


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