Q: What are the prime factors of the number 11,077,140?

 A: 2, 3, 5, 353, 523

Why are those the prime factors of the number 11,077,140?

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 11,077,140

11,077,140
Factor Arrows
25,538,570
Factor Arrows
22,769,285
Factor Arrows
3923,095
Factor Arrows
5184,619
Factor Arrows
353523

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, 5, 353, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 353 x 523 = 11,077,140

This can also be written as 22 x 31 x 51 x 3531 x 5231 = 11,077,140

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


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