Q: What are the prime factors of the number 162,833,027?

 A: 7, 97, 34259

Why are those the prime factors of the number 162,833,027?

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 162,833,027

162,833,027
Factor Arrows
723,261,861
Factor Arrows
73,323,123
Factor Arrows
9734,259

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:

7, 97, 34259

We can check our work by multiplying all of the prime factors together: 7 x 7 x 97 x 34,259 = 162,833,027

This can also be written as 72 x 971 x 34,2591 = 162,833,027

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


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