Q: What are the prime factors of the number 940,536?

 A: 2, 3, 13063

Why are those the prime factors of the number 940,536?

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 940,536

940,536
Factor Arrows
2470,268
Factor Arrows
2235,134
Factor Arrows
2117,567
Factor Arrows
339,189
Factor Arrows
313,063

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, 13063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13,063 = 940,536

This can also be written as 23 x 32 x 13,0631 = 940,536

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


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