Q: What are the prime factors of the number 235,885,424?

 A: 2, 23, 640993

Why are those the prime factors of the number 235,885,424?

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 235,885,424

235,885,424
Factor Arrows
2117,942,712
Factor Arrows
258,971,356
Factor Arrows
229,485,678
Factor Arrows
214,742,839
Factor Arrows
23640,993

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, 23, 640993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 640,993 = 235,885,424

This can also be written as 24 x 231 x 640,9931 = 235,885,424

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


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