Q: What are the prime factors of the number 235,243,268?

 A: 2, 13, 347993

Why are those the prime factors of the number 235,243,268?

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 235,243,268

235,243,268
Factor Arrows
2117,621,634
Factor Arrows
258,810,817
Factor Arrows
134,523,909
Factor Arrows
13347,993

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, 13, 347993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 347,993 = 235,243,268

This can also be written as 22 x 132 x 347,9931 = 235,243,268

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


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