Q: What are the prime factors of the number 603,278?

 A: 2, 13, 23203

Why are those the prime factors of the number 603,278?

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 603,278

603,278
Factor Arrows
2301,639
Factor Arrows
1323,203

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, 13, 23203

We can check our work by multiplying all of the prime factors together: 2 x 13 x 23,203 = 603,278

This can also be written as 21 x 131 x 23,2031 = 603,278

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


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