Q: What are the prime factors of the number 241,452,432?

 A: 2, 3, 13, 128981

Why are those the prime factors of the number 241,452,432?

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 241,452,432

241,452,432
Factor Arrows
2120,726,216
Factor Arrows
260,363,108
Factor Arrows
230,181,554
Factor Arrows
215,090,777
Factor Arrows
35,030,259
Factor Arrows
31,676,753
Factor Arrows
13128,981

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, 13, 128981

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 13 x 128,981 = 241,452,432

This can also be written as 24 x 32 x 131 x 128,9811 = 241,452,432

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


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