Q: What are the prime factors of the number 241,441,614?

 A: 2, 3, 4471141

Why are those the prime factors of the number 241,441,614?

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 241,441,614

241,441,614
Factor Arrows
2120,720,807
Factor Arrows
340,240,269
Factor Arrows
313,413,423
Factor Arrows
34,471,141

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, 4471141

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 4,471,141 = 241,441,614

This can also be written as 21 x 33 x 4,471,1411 = 241,441,614

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


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