Q: What are the prime factors of the number 235,764,636?

 A: 2, 3, 17, 1155709

Why are those the prime factors of the number 235,764,636?

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 235,764,636

235,764,636
Factor Arrows
2117,882,318
Factor Arrows
258,941,159
Factor Arrows
319,647,053
Factor Arrows
171,155,709

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, 17, 1155709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 1,155,709 = 235,764,636

This can also be written as 22 x 31 x 171 x 1,155,7091 = 235,764,636

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


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