Q: What are the prime factors of the number 53,164,614?

 A: 2, 3, 47, 188527

Why are those the prime factors of the number 53,164,614?

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 53,164,614

53,164,614
Factor Arrows
226,582,307
Factor Arrows
38,860,769
Factor Arrows
47188,527

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, 47, 188527

We can check our work by multiplying all of the prime factors together: 2 x 3 x 47 x 188,527 = 53,164,614

This can also be written as 21 x 31 x 471 x 188,5271 = 53,164,614

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


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