Q: What are the prime factors of the number 10,433,730?

 A: 2, 3, 5, 293, 1187

Why are those the prime factors of the number 10,433,730?

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 10,433,730

10,433,730
Factor Arrows
25,216,865
Factor Arrows
31,738,955
Factor Arrows
5347,791
Factor Arrows
2931,187

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, 5, 293, 1187

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 293 x 1,187 = 10,433,730

This can also be written as 21 x 31 x 51 x 2931 x 1,1871 = 10,433,730

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


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