Q: What are the prime factors of the number 197,563,488?

 A: 2, 3, 2057953

Why are those the prime factors of the number 197,563,488?

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 197,563,488

197,563,488
Factor Arrows
298,781,744
Factor Arrows
249,390,872
Factor Arrows
224,695,436
Factor Arrows
212,347,718
Factor Arrows
26,173,859
Factor Arrows
32,057,953

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, 2057953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 2,057,953 = 197,563,488

This can also be written as 25 x 31 x 2,057,9531 = 197,563,488

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


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