Q: What are the prime factors of the number 156,776,655?

 A: 3, 5, 7, 311, 4801

Why are those the prime factors of the number 156,776,655?

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 156,776,655

156,776,655
Factor Arrows
352,258,885
Factor Arrows
510,451,777
Factor Arrows
71,493,111
Factor Arrows
3114,801

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:

3, 5, 7, 311, 4801

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 311 x 4,801 = 156,776,655

This can also be written as 31 x 51 x 71 x 3111 x 4,8011 = 156,776,655

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


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