SOLUTION: List all the prime numbers between 55-75. I am confused about Prime Numbers, exactly what are they in plain ole english could someone please explain. Thanks, Zack

Question 105738: List all the prime numbers between 55-75. I am confused about Prime Numbers, exactly what are they in plain ole english could someone please explain. Thanks, Zack
Found 2 solutions by bucky, brandonpark2889:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
A prime number is a number that can only be divided by itself or 1 to get an integer as
an answer. For example is 3 a prime number? Yes it is because it can only be divided
by 3 and 1 to get an integer as an answer. How about 6 ... is it a prime number? No it is
not because it can be divided by 6, by 1, by 3, and by 2 and each of those divisions
results in an integer as an answer.
.
You are to find all the prime numbers between 55 and 75. Note that both 55 and 75 are not
prime numbers because both can be divided by 5.
.
56 is not prime ... it can be divided by 2. From this you can deduce that any even number (except 2)
is not a prime because it can be divided by 2. Therefore, only odd numbers can be a prime
and every odd number is not a prime. And any number that ends in 5 is not prime because it
can be divided by 5 and produce a quotient that is an integer. (2 is an exception
to this rule. It is prime because even though it is even, it can only be divided by itself
and 1 ... so it fits the definition of prime.)
.
The prime numbers between 55 and 75 are: 59, 61, 67, 71, and 73. Any other numbers in
this range are divisible by something other than themselves and 1. Any of the other numbers
in this range have at least a 2 or a 3 or a 5 as a divisor.
.
Hope this clarifies the term "prime" for you and helps you to see your way through the
problem.
.
.

Answer by brandonpark2889(31) (Show Source): You can put this solution on YOUR website!
List all the prime numbers between 55-75. I am confused about Prime Numbers, exactly what are they in plain ole english could someone please explain. Thanks, Zack

Let's think it SO SIMPLY. prime numbers are numbers that can only be divided by one. Take an example, like 7. Do you know any numbers other than 1 and 7 that is divided by? no. there is no such number. But if you take 4, which is composite, you have more than just 1 and 4. it's also 2.
Also, ALL even numbers are composite. It is so because even numbers can be divided by 2.
Any number that ends with 0 or 5 is composite. they are divisible by 5.

So let's go from 55-75:
55) Nope. 55 can also be by 5 and 11. Let's skip 55,60,65,60 and 75. they are divisible by 5.
56) Even. so no.
57) You might think 57 is prime, but there is a special way to know if this is a prime or composite: use a good old-fashioned 3 divisible tricks: Add the each digit of the number up, so in here, 5 and 7. If the number added is divisible by 3, then it is divisible by 3. So 5 + 7 = 12. 12 can be divided by 3 evenly, yes? so this is not prime.
58) Even. (Let's skip 60,62,64,66,68,70,72 and 74. they're all evens.
59) Yes! this is a prime number, because 59 can only be divided by 1 and 59.
61) Yes! this is a prime number, because 61 can only be divided by 1 and 61.
63) Not a chance. 9 times 7 is 63.
67) Yes! this is a prime number, because 67 can only be divided by 1 and 67.
69) Nope. Remember 3 fivisible trick? 6 + 9 = 15, and 15 is divisible by 3.
71) Yes! this is a prime number, because 71 can only be divided by 1 and 71.
73) Yes! this is a prime number, because 73 can only be divided by 1 and 73.
So the following list is:
59,61,67,71,73
Alright. Good luck.

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