Q: What are the prime factors of the number 177,105,845?

 A: 5, 7, 722881

Why are those the prime factors of the number 177,105,845?

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 177,105,845

177,105,845
Factor Arrows
535,421,169
Factor Arrows
75,060,167
Factor Arrows
7722,881

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:

5, 7, 722881

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 722,881 = 177,105,845

This can also be written as 51 x 72 x 722,8811 = 177,105,845

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


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