Q: What are the prime factors of the number 232,432,432?

 A: 2, 17, 401, 2131

Why are those the prime factors of the number 232,432,432?

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 232,432,432

232,432,432
Factor Arrows
2116,216,216
Factor Arrows
258,108,108
Factor Arrows
229,054,054
Factor Arrows
214,527,027
Factor Arrows
17854,531
Factor Arrows
4012,131

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, 17, 401, 2131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 401 x 2,131 = 232,432,432

This can also be written as 24 x 171 x 4011 x 2,1311 = 232,432,432

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


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