Q: What are the prime factors of the number 51,560,416?

 A: 2, 197, 8179

Why are those the prime factors of the number 51,560,416?

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 51,560,416

51,560,416
Factor Arrows
225,780,208
Factor Arrows
212,890,104
Factor Arrows
26,445,052
Factor Arrows
23,222,526
Factor Arrows
21,611,263
Factor Arrows
1978,179

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, 197, 8179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 197 x 8,179 = 51,560,416

This can also be written as 25 x 1971 x 8,1791 = 51,560,416

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


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