Q: What are the prime factors of the number 741,365,145?

 A: 3, 5, 149, 110569

Why are those the prime factors of the number 741,365,145?

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 741,365,145

741,365,145
Factor Arrows
3247,121,715
Factor Arrows
382,373,905
Factor Arrows
516,474,781
Factor Arrows
149110,569

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:

3, 5, 149, 110569

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 149 x 110,569 = 741,365,145

This can also be written as 32 x 51 x 1491 x 110,5691 = 741,365,145

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


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