Q: What are the prime factors of the number 10,422,882?

 A: 2, 3, 31, 18679

Why are those the prime factors of the number 10,422,882?

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 10,422,882

10,422,882
Factor Arrows
25,211,441
Factor Arrows
31,737,147
Factor Arrows
3579,049
Factor Arrows
3118,679

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, 31, 18679

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 31 x 18,679 = 10,422,882

This can also be written as 21 x 32 x 311 x 18,6791 = 10,422,882

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


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