Q: What are the prime factors of the number 197,544,684?

 A: 2, 3, 107, 137, 1123

Why are those the prime factors of the number 197,544,684?

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 197,544,684

197,544,684
Factor Arrows
298,772,342
Factor Arrows
249,386,171
Factor Arrows
316,462,057
Factor Arrows
107153,851
Factor Arrows
1371,123

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, 107, 137, 1123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 107 x 137 x 1,123 = 197,544,684

This can also be written as 22 x 31 x 1071 x 1371 x 1,1231 = 197,544,684

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


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