Q: What are the prime factors of the number 256,871,253?

 A: 3, 109, 809, 971

Why are those the prime factors of the number 256,871,253?

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 256,871,253

256,871,253
Factor Arrows
385,623,751
Factor Arrows
109785,539
Factor Arrows
809971

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, 109, 809, 971

We can check our work by multiplying all of the prime factors together: 3 x 109 x 809 x 971 = 256,871,253

This can also be written as 31 x 1091 x 8091 x 9711 = 256,871,253

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


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