Q: What are the prime factors of the number 745,516,134?

 A: 2, 3, 11, 3765233

Why are those the prime factors of the number 745,516,134?

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 745,516,134

745,516,134
Factor Arrows
2372,758,067
Factor Arrows
3124,252,689
Factor Arrows
341,417,563
Factor Arrows
113,765,233

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, 11, 3765233

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 3,765,233 = 745,516,134

This can also be written as 21 x 32 x 111 x 3,765,2331 = 745,516,134

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


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