Q: What are the prime factors of the number 401,223,201?

 A: 3, 23, 71, 81899

Why are those the prime factors of the number 401,223,201?

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 401,223,201

401,223,201
Factor Arrows
3133,741,067
Factor Arrows
235,814,829
Factor Arrows
7181,899

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:

3, 23, 71, 81899

We can check our work by multiplying all of the prime factors together: 3 x 23 x 71 x 81,899 = 401,223,201

This can also be written as 31 x 231 x 711 x 81,8991 = 401,223,201

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


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