Q: What are the prime factors of the number 253,016,100?

 A: 2, 3, 5, 17, 23, 719

Why are those the prime factors of the number 253,016,100?

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 253,016,100

253,016,100
Factor Arrows
2126,508,050
Factor Arrows
263,254,025
Factor Arrows
321,084,675
Factor Arrows
37,028,225
Factor Arrows
51,405,645
Factor Arrows
5281,129
Factor Arrows
1716,537
Factor Arrows
23719

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, 3, 5, 17, 23, 719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 17 x 23 x 719 = 253,016,100

This can also be written as 22 x 32 x 52 x 171 x 231 x 7191 = 253,016,100

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


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