Q: What are the prime factors of the number 741,740?

 A: 2, 5, 37087

Why are those the prime factors of the number 741,740?

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 741,740

741,740
Factor Arrows
2370,870
Factor Arrows
2185,435
Factor Arrows
537,087

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, 37087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 37,087 = 741,740

This can also be written as 22 x 51 x 37,0871 = 741,740

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


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