Q: What are the prime factors of the number 241,466,550?

 A: 2, 3, 5, 13, 123829

Why are those the prime factors of the number 241,466,550?

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 241,466,550

241,466,550
Factor Arrows
2120,733,275
Factor Arrows
340,244,425
Factor Arrows
58,048,885
Factor Arrows
51,609,777
Factor Arrows
13123,829

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, 13, 123829

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 13 x 123,829 = 241,466,550

This can also be written as 21 x 31 x 52 x 131 x 123,8291 = 241,466,550

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


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