Q: What are the prime factors of the number 10,921,534?

 A: 2, 13, 101, 4159

Why are those the prime factors of the number 10,921,534?

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 10,921,534

10,921,534
Factor Arrows
25,460,767
Factor Arrows
13420,059
Factor Arrows
1014,159

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, 101, 4159

We can check our work by multiplying all of the prime factors together: 2 x 13 x 101 x 4,159 = 10,921,534

This can also be written as 21 x 131 x 1011 x 4,1591 = 10,921,534

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


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