Q: What are the prime factors of the number 51,424,002?

 A: 2, 3, 7, 408127

Why are those the prime factors of the number 51,424,002?

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 51,424,002

51,424,002
Factor Arrows
225,712,001
Factor Arrows
38,570,667
Factor Arrows
32,856,889
Factor Arrows
7408,127

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, 7, 408127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 408,127 = 51,424,002

This can also be written as 21 x 32 x 71 x 408,1271 = 51,424,002

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


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