Question 107997: Tell wether the number is prime or composite. If it is composite,write its prime factorization.
8. 345
Any help with this equation would be GREATLY appreciated.
Found 2 solutions by solver91311, rhissam:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! To determine if a number is prime, divide it by all of the prime numbers less than the square root of the number. If none of the prime divisors divides the number evenly, then then number is prime.
 is a little more than 18, so you have to divide by:
2, 3, 5, 7, 11, 13, and 17.
The number 345 is odd, so 2 is not a factor.
 , so 3 is a factor, and 345 is composite.
2 wasn't a factor of 345, so it can't be a factor of 115 either.
 is not integral, so 345 only has the single 3 as a factor.
 , so 5 is another factor of 345.
And finally, 23 is prime because it is not divisible by either 2 or 3 ( )
Therefore, the prime factorization of 345 is (3 * 5 * 23)
Answer by rhissam(1)  (Show Source):
You can put this solution on YOUR website!
If any # can divide into 345 evenly then 345 has to be a composite number. The word composite is like compound, a compound sentence has more than one idea, and a composite number has more factors than just 1 and the # itself. Since 345 ends in a 5, then 5 will divide into 345 evenly. Also, if you add the digits of 345: 3+4+5 =12 and 12 is a multiple of 3, then we know 3 will also divide evenly into 345 which proves it is truly a composite number.
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