Q: What are the prime factors of the number 241,112,510?

 A: 2, 5, 83, 290497

Why are those the prime factors of the number 241,112,510?

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 241,112,510

241,112,510
Factor Arrows
2120,556,255
Factor Arrows
524,111,251
Factor Arrows
83290,497

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, 5, 83, 290497

We can check our work by multiplying all of the prime factors together: 2 x 5 x 83 x 290,497 = 241,112,510

This can also be written as 21 x 51 x 831 x 290,4971 = 241,112,510

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


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