Q: What are the prime factors of the number 231,420,015?

 A: 3, 5, 37, 131, 1061

Why are those the prime factors of the number 231,420,015?

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 231,420,015

231,420,015
Factor Arrows
377,140,005
Factor Arrows
325,713,335
Factor Arrows
55,142,667
Factor Arrows
37138,991
Factor Arrows
1311,061

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, 5, 37, 131, 1061

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 131 x 1,061 = 231,420,015

This can also be written as 32 x 51 x 371 x 1311 x 1,0611 = 231,420,015

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


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