Q: What are the prime factors of the number 241,135,650?

 A: 2, 3, 5, 7, 17, 19, 79

Why are those the prime factors of the number 241,135,650?

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 241,135,650

241,135,650
Factor Arrows
2120,567,825
Factor Arrows
340,189,275
Factor Arrows
313,396,425
Factor Arrows
34,465,475
Factor Arrows
5893,095
Factor Arrows
5178,619
Factor Arrows
725,517
Factor Arrows
171,501
Factor Arrows
1979

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, 5, 7, 17, 19, 79

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 x 19 x 79 = 241,135,650

This can also be written as 21 x 33 x 52 x 71 x 171 x 191 x 791 = 241,135,650

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


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