Q: What are the prime factors of the number 10,880,364?

 A: 2, 3, 11, 139, 593

Why are those the prime factors of the number 10,880,364?

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 10,880,364

10,880,364
Factor Arrows
25,440,182
Factor Arrows
22,720,091
Factor Arrows
3906,697
Factor Arrows
1182,427
Factor Arrows
139593

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, 139, 593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 139 x 593 = 10,880,364

This can also be written as 22 x 31 x 111 x 1391 x 5931 = 10,880,364

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


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