Q: What are the prime factors of the number 612,738?

 A: 2, 3, 7, 1621

Why are those the prime factors of the number 612,738?

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 612,738

612,738
Factor Arrows
2306,369
Factor Arrows
3102,123
Factor Arrows
334,041
Factor Arrows
311,347
Factor Arrows
71,621

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, 1621

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 1,621 = 612,738

This can also be written as 21 x 33 x 71 x 1,6211 = 612,738

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


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