Q: What are the prime factors of the number 242,234,232?

 A: 2, 3, 41, 246173

Why are those the prime factors of the number 242,234,232?

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 242,234,232

242,234,232
Factor Arrows
2121,117,116
Factor Arrows
260,558,558
Factor Arrows
230,279,279
Factor Arrows
310,093,093
Factor Arrows
41246,173

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, 41, 246173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 x 246,173 = 242,234,232

This can also be written as 23 x 31 x 411 x 246,1731 = 242,234,232

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


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