Q: What are the prime factors of the number 234,453,246?

 A: 2, 3, 139, 197, 1427

Why are those the prime factors of the number 234,453,246?

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 234,453,246

234,453,246
Factor Arrows
2117,226,623
Factor Arrows
339,075,541
Factor Arrows
139281,119
Factor Arrows
1971,427

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, 139, 197, 1427

We can check our work by multiplying all of the prime factors together: 2 x 3 x 139 x 197 x 1,427 = 234,453,246

This can also be written as 21 x 31 x 1391 x 1971 x 1,4271 = 234,453,246

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


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