Q: What are the prime factors of the number 52,014,978?

 A: 2, 3, 41, 70481

Why are those the prime factors of the number 52,014,978?

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 52,014,978

52,014,978
Factor Arrows
226,007,489
Factor Arrows
38,669,163
Factor Arrows
32,889,721
Factor Arrows
4170,481

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, 41, 70481

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 41 x 70,481 = 52,014,978

This can also be written as 21 x 32 x 411 x 70,4811 = 52,014,978

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


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