Q: What are the prime factors of the number 741,232,760?

 A: 2, 5, 18530819

Why are those the prime factors of the number 741,232,760?

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 741,232,760

741,232,760
Factor Arrows
2370,616,380
Factor Arrows
2185,308,190
Factor Arrows
292,654,095
Factor Arrows
518,530,819

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, 18530819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 18,530,819 = 741,232,760

This can also be written as 23 x 51 x 18,530,8191 = 741,232,760

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


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