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If it is divisible by 2, 3, 5 or 7 then it is not prime. Otherwise it is.

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Q: How do you know that any remaining number less than 100 must be prime?
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How do you know if a number greater than 100 is a prime number?

You try dividing it by all prime numbers less than of equal to its square root.


A prime number less than 50 is 6 greater than the prime number just before it and 4 less than the prime number just after it what is the prime number?

37


How do you know when you have all the factors of any number and justify any strategy?

What I do is start with 2's and 5's because they're easiest, since every even number is evenly divisible by 2 and every whole number ending in 5 or 0 is evenly divisible by 5. Then I start from 3 going through the prime numbers, dividing the remaining part of the number by each prime number on a calculator to see if the quotient is a whole number. I continue whittling away at the number in that way with each prime number in order until the quotient I get is less than the prime number divisor I tried; at that point I know that what's left over must be a prime number.


How many composite numbers less than 1500?

Of the 1499 numbers less than 1500, number 1 is neither prime nor composite, 239 are primes, and the remaining 1259 are composites.


How do you know that any remaining number less than 100 must be a prime number?

If you mean, using the Sieve of Eratosthenes, you only need to check off prime numbers that are lower than the square root of the highest number - in this case, the square root of 100, which is 10 - so the prime numbers you need to check off are 2, 3, 5, 7.


What is a number 1 less than a prime number?

It is a number 1 less than a prime number. There is nothing else that can be said about it that is invariably true.


What is the largest prime number less than 100?

9797 is the largest prime number less than 100.


What is the greatest prime number that is less than 200?

the greatest prime number less than 200 is 199


What is the largest prime number less than 70?

67 will be the largest prime number less than 70.


Which is the greatest prime number less than 48?

47 is the greatest prime number less than 48.


What is the greatest prime number less than 200?

The greatest prime number less than 200 is 199.


What is the largest prime number less than 37?

The lowest prime number that is less than 37 is 29.