Q: What are the prime factors of the number 163,231,500?

 A: 2, 3, 5, 108821

Why are those the prime factors of the number 163,231,500?

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 163,231,500

163,231,500
Factor Arrows
281,615,750
Factor Arrows
240,807,875
Factor Arrows
313,602,625
Factor Arrows
52,720,525
Factor Arrows
5544,105
Factor Arrows
5108,821

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:

2, 3, 5, 108821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 108,821 = 163,231,500

This can also be written as 22 x 31 x 53 x 108,8211 = 163,231,500

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


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