Q: What are the prime factors of the number 51,567,424?

 A: 2, 805741

Why are those the prime factors of the number 51,567,424?

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 51,567,424

51,567,424
Factor Arrows
225,783,712
Factor Arrows
212,891,856
Factor Arrows
26,445,928
Factor Arrows
23,222,964
Factor Arrows
21,611,482
Factor Arrows
2805,741

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, 805741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 805,741 = 51,567,424

This can also be written as 26 x 805,7411 = 51,567,424

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


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