Best Answer

All non-prime numbers are divisible by prime numbers.

Now the smallest to prime numbers are 2 and 3.

The next Prime number is 5, which is 6*1 - 1.

All larger numbers are in the form of one of 6n, 6n+1, 6n+2, 6n+3, 6n+4, 6n+5.

Now 6n is divisible by 2 and so cannot be a prime.

6n+2 and 6n+4 are also divisible by 2 and so cannot be prime.

6n+3 is divisible by 3 and so cannot be prime.

That leave 6n+1 and 6n+5 as the only two forms than can be prime.

Note though that 6n+5 = 6m-1 where m = n+1.

So all primes are of the form 2, 3, 6n+1 and 6n-1. And all primes can be divided by primes. The result follows.

Study guides

☆

Q: Why all non prime number are divisible by 2 or 3 or 6 times n plus 1 or 6 times n minus 1?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

22 is a composite number because it can be produced from the product of 2 times by 11.Prime numbers are ones that are the product of themselves times by one alone example 3 is a prime cos' it is 3 times 1 only this alone.It's a composite number. It cannot be prime because it is divisible by two.

As in prime number? It's a number that's only divisible by the number 1 or itself. For instance 3 is a prime number because it can only be divided by 3 (once), and 1 (three times). 6 on the other hand is not a prime number because not only can it be divided by 6 (once), and 1 (six times), it can also be divided by 3 (twice) and 2 (three times)

7 times minus 2 =

A prime number times a prime number is a composite number. Since prime numbers, except for 2, are odd numbers, a prime number times a prime number is usually an odd number. It will only be an even number if one of the prime numbers is 2. A prime number times a prime number will be a number with four factors unless both prime numbers are the same, in which case it will be a square number with only three factors.

Composite.

Related questions

No. A given number need not even be divisible by a given prime.

No, it is not. A Prime number is a number that is only divisible by itself & the number one. 75 is divisible by: 1, 3, 5, 15, 25, & 75. Example: 25 times 3 equals 75.

None. Prime numbers can only be divided by 1 and themselves, so if a prime number is divisible by 371, it isn't a prime number. 53 times 7 equals 371, so 371 cannot be a prime number either.

No, because the definition of a prime number is 'a number that can only be divided by one or itself, and still leave a whole number.' Anything in the eight times table would be divisible by two and four.

22 is a composite number because it can be produced from the product of 2 times by 11.Prime numbers are ones that are the product of themselves times by one alone example 3 is a prime cos' it is 3 times 1 only this alone.It's a composite number. It cannot be prime because it is divisible by two.

1*11 or 11*1 this is because 11 is a prime number. Prime numbers are only divisible by themselves or 1.

As in prime number? It's a number that's only divisible by the number 1 or itself. For instance 3 is a prime number because it can only be divided by 3 (once), and 1 (three times). 6 on the other hand is not a prime number because not only can it be divided by 6 (once), and 1 (six times), it can also be divided by 3 (twice) and 2 (three times)

Nope, divisible by 3 (263 times)

There are no two numbers that can be multiplied to get 19; 19 is not divisible by any number.

No they are not. A prime number is a number only divisible by 1 and itself, such as 5. These numbers can all be divided by two amoungst others and no number in the two times table (except two itself) is a prime number.

2 times a number minus 17 plus 20 times a number minus 9 is the same as 2x - 17 + 20x - 9 = 22x - 26

7 times minus 2 =

People also asked