Q: What are the prime factors of the number 62,403,366?

 A: 2, 3, 53, 61, 3217

Why are those the prime factors of the number 62,403,366?

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 62,403,366

62,403,366
Factor Arrows
231,201,683
Factor Arrows
310,400,561
Factor Arrows
53196,237
Factor Arrows
613,217

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, 53, 61, 3217

We can check our work by multiplying all of the prime factors together: 2 x 3 x 53 x 61 x 3,217 = 62,403,366

This can also be written as 21 x 31 x 531 x 611 x 3,2171 = 62,403,366

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


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