Q: What are the prime factors of the number 235,351,616?

 A: 2, 3677369

Why are those the prime factors of the number 235,351,616?

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 235,351,616

235,351,616
Factor Arrows
2117,675,808
Factor Arrows
258,837,904
Factor Arrows
229,418,952
Factor Arrows
214,709,476
Factor Arrows
27,354,738
Factor Arrows
23,677,369

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, 3677369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3,677,369 = 235,351,616

This can also be written as 26 x 3,677,3691 = 235,351,616

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


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