Q: What are the prime factors of the number 163,316,500?

 A: 2, 5, 326633

Why are those the prime factors of the number 163,316,500?

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 163,316,500

163,316,500
Factor Arrows
281,658,250
Factor Arrows
240,829,125
Factor Arrows
58,165,825
Factor Arrows
51,633,165
Factor Arrows
5326,633

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, 5, 326633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 326,633 = 163,316,500

This can also be written as 22 x 53 x 326,6331 = 163,316,500

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


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