Q: What are the prime factors of the number 10,648,274?

 A: 2, 7, 13, 41, 1427

Why are those the prime factors of the number 10,648,274?

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 10,648,274

10,648,274
Factor Arrows
25,324,137
Factor Arrows
7760,591
Factor Arrows
1358,507
Factor Arrows
411,427

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, 13, 41, 1427

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 41 x 1,427 = 10,648,274

This can also be written as 21 x 71 x 131 x 411 x 1,4271 = 10,648,274

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


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