Q: What are the prime factors of the number 235,865,808?

 A: 2, 3, 149, 10993

Why are those the prime factors of the number 235,865,808?

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 235,865,808

235,865,808
Factor Arrows
2117,932,904
Factor Arrows
258,966,452
Factor Arrows
229,483,226
Factor Arrows
214,741,613
Factor Arrows
34,913,871
Factor Arrows
31,637,957
Factor Arrows
14910,993

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, 3, 149, 10993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 149 x 10,993 = 235,865,808

This can also be written as 24 x 32 x 1491 x 10,9931 = 235,865,808

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


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