Q: What are the prime factors of the number 233,321,032?

 A: 2, 7, 4166447

Why are those the prime factors of the number 233,321,032?

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 233,321,032

233,321,032
Factor Arrows
2116,660,516
Factor Arrows
258,330,258
Factor Arrows
229,165,129
Factor Arrows
74,166,447

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, 7, 4166447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 4,166,447 = 233,321,032

This can also be written as 23 x 71 x 4,166,4471 = 233,321,032

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


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