Q: What are the prime factors of the number 53,556,012?

 A: 2, 3, 73, 6793

Why are those the prime factors of the number 53,556,012?

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 53,556,012

53,556,012
Factor Arrows
226,778,006
Factor Arrows
213,389,003
Factor Arrows
34,463,001
Factor Arrows
31,487,667
Factor Arrows
3495,889
Factor Arrows
736,793

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, 73, 6793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 73 x 6,793 = 53,556,012

This can also be written as 22 x 33 x 731 x 6,7931 = 53,556,012

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


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