Q: What are the prime factors of the number 204,355,138?

 A: 2, 13, 23, 97, 271

Why are those the prime factors of the number 204,355,138?

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 204,355,138

204,355,138
Factor Arrows
2102,177,569
Factor Arrows
137,859,813
Factor Arrows
13604,601
Factor Arrows
2326,287
Factor Arrows
97271

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, 13, 23, 97, 271

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 23 x 97 x 271 = 204,355,138

This can also be written as 21 x 132 x 231 x 971 x 2711 = 204,355,138

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


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