Q: What are the prime factors of the number 154,623,696?

 A: 2, 3, 3221327

Why are those the prime factors of the number 154,623,696?

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 154,623,696

154,623,696
Factor Arrows
277,311,848
Factor Arrows
238,655,924
Factor Arrows
219,327,962
Factor Arrows
29,663,981
Factor Arrows
33,221,327

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, 3221327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3,221,327 = 154,623,696

This can also be written as 24 x 31 x 3,221,3271 = 154,623,696

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


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