Q: What are the prime factors of the number 51,000,000?

 A: 2, 3, 5, 17

Why are those the prime factors of the number 51,000,000?

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 51,000,000

51,000,000
Factor Arrows
225,500,000
Factor Arrows
212,750,000
Factor Arrows
26,375,000
Factor Arrows
23,187,500
Factor Arrows
21,593,750
Factor Arrows
2796,875
Factor Arrows
3265,625
Factor Arrows
553,125
Factor Arrows
510,625
Factor Arrows
52,125
Factor Arrows
5425
Factor Arrows
585
Factor Arrows
517

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, 5, 17

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 3 x 5 x 5 x 5 x 5 x 5 x 5 x 17 = 51,000,000

This can also be written as 26 x 31 x 56 x 171 = 51,000,000

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


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