Q: What are the prime factors of the number 741,067,652?

 A: 2, 13, 14251301

Why are those the prime factors of the number 741,067,652?

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 741,067,652

741,067,652
Factor Arrows
2370,533,826
Factor Arrows
2185,266,913
Factor Arrows
1314,251,301

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, 13, 14251301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 14,251,301 = 741,067,652

This can also be written as 22 x 131 x 14,251,3011 = 741,067,652

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


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