Q: What are the prime factors of the number 53,065,509?

 A: 3, 7, 569, 4441

Why are those the prime factors of the number 53,065,509?

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 53,065,509

53,065,509
Factor Arrows
317,688,503
Factor Arrows
72,526,929
Factor Arrows
5694,441

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:

3, 7, 569, 4441

We can check our work by multiplying all of the prime factors together: 3 x 7 x 569 x 4,441 = 53,065,509

This can also be written as 31 x 71 x 5691 x 4,4411 = 53,065,509

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


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