Q: What are the prime factors of the number 281,368,525?

 A: 5, 3041, 3701

Why are those the prime factors of the number 281,368,525?

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 281,368,525

281,368,525
Factor Arrows
556,273,705
Factor Arrows
511,254,741
Factor Arrows
3,0413,701

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:

5, 3041, 3701

We can check our work by multiplying all of the prime factors together: 5 x 5 x 3,041 x 3,701 = 281,368,525

This can also be written as 52 x 3,0411 x 3,7011 = 281,368,525

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


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