Q: What are the prime factors of the number 10,653,496?

 A: 2, 7, 103, 1847

Why are those the prime factors of the number 10,653,496?

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 10,653,496

10,653,496
Factor Arrows
25,326,748
Factor Arrows
22,663,374
Factor Arrows
21,331,687
Factor Arrows
7190,241
Factor Arrows
1031,847

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, 7, 103, 1847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 103 x 1,847 = 10,653,496

This can also be written as 23 x 71 x 1031 x 1,8471 = 10,653,496

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


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