Q: What are the prime factors of the number 35,252,145?

 A: 3, 5, 261127

Why are those the prime factors of the number 35,252,145?

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 35,252,145

35,252,145
Factor Arrows
311,750,715
Factor Arrows
33,916,905
Factor Arrows
31,305,635
Factor Arrows
5261,127

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, 261127

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 261,127 = 35,252,145

This can also be written as 33 x 51 x 261,1271 = 35,252,145

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


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