Q: What are the prime factors of the number 197,881,940?

 A: 2, 5, 97, 102001

Why are those the prime factors of the number 197,881,940?

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 197,881,940

197,881,940
Factor Arrows
298,940,970
Factor Arrows
249,470,485
Factor Arrows
59,894,097
Factor Arrows
97102,001

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, 97, 102001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 97 x 102,001 = 197,881,940

This can also be written as 22 x 51 x 971 x 102,0011 = 197,881,940

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


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