Q: What are the prime factors of the number 263,372,910?

 A: 2, 3, 5, 137, 64081

Why are those the prime factors of the number 263,372,910?

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 263,372,910

263,372,910
Factor Arrows
2131,686,455
Factor Arrows
343,895,485
Factor Arrows
58,779,097
Factor Arrows
13764,081

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, 137, 64081

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 137 x 64,081 = 263,372,910

This can also be written as 21 x 31 x 51 x 1371 x 64,0811 = 263,372,910

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


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