Q: What are the prime factors of the number 53,531,062?

 A: 2, 13, 17, 281, 431

Why are those the prime factors of the number 53,531,062?

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 53,531,062

53,531,062
Factor Arrows
226,765,531
Factor Arrows
132,058,887
Factor Arrows
17121,111
Factor Arrows
281431

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, 13, 17, 281, 431

We can check our work by multiplying all of the prime factors together: 2 x 13 x 17 x 281 x 431 = 53,531,062

This can also be written as 21 x 131 x 171 x 2811 x 4311 = 53,531,062

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


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