Q: What are the prime factors of the number 241,667,376?

 A: 2, 3, 17, 73, 4057

Why are those the prime factors of the number 241,667,376?

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 241,667,376

241,667,376
Factor Arrows
2120,833,688
Factor Arrows
260,416,844
Factor Arrows
230,208,422
Factor Arrows
215,104,211
Factor Arrows
35,034,737
Factor Arrows
17296,161
Factor Arrows
734,057

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, 17, 73, 4057

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 17 x 73 x 4,057 = 241,667,376

This can also be written as 24 x 31 x 171 x 731 x 4,0571 = 241,667,376

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


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