Q: What are the prime factors of the number 423,556,196?

 A: 2, 7, 2161001

Why are those the prime factors of the number 423,556,196?

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 423,556,196

423,556,196
Factor Arrows
2211,778,098
Factor Arrows
2105,889,049
Factor Arrows
715,127,007
Factor Arrows
72,161,001

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, 7, 2161001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 2,161,001 = 423,556,196

This can also be written as 22 x 72 x 2,161,0011 = 423,556,196

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


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