Q: What are the prime factors of the number 197,888,845?

 A: 5, 7, 11, 46727

Why are those the prime factors of the number 197,888,845?

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 197,888,845

197,888,845
Factor Arrows
539,577,769
Factor Arrows
75,653,967
Factor Arrows
11513,997
Factor Arrows
1146,727

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, 11, 46727

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 11 x 46,727 = 197,888,845

This can also be written as 51 x 71 x 112 x 46,7271 = 197,888,845

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


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