Q: What are the prime factors of the number 178,691,037?

 A: 3, 7, 31, 53, 5179

Why are those the prime factors of the number 178,691,037?

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 178,691,037

178,691,037
Factor Arrows
359,563,679
Factor Arrows
78,509,097
Factor Arrows
31274,487
Factor Arrows
535,179

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, 7, 31, 53, 5179

We can check our work by multiplying all of the prime factors together: 3 x 7 x 31 x 53 x 5,179 = 178,691,037

This can also be written as 31 x 71 x 311 x 531 x 5,1791 = 178,691,037

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


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