Q: What are the prime factors of the number 157,767,885?

 A: 3, 5, 11, 131, 811

Why are those the prime factors of the number 157,767,885?

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 157,767,885

157,767,885
Factor Arrows
352,589,295
Factor Arrows
317,529,765
Factor Arrows
35,843,255
Factor Arrows
51,168,651
Factor Arrows
11106,241
Factor Arrows
131811

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, 11, 131, 811

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 11 x 131 x 811 = 157,767,885

This can also be written as 33 x 51 x 111 x 1311 x 8111 = 157,767,885

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


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