0

# Why do prime numbers have a remainder of 1 or 5 when divided by 6?

Updated: 4/28/2022

Wiki User

14y ago

If the number has a remainder of 2 or 4 when divided by 6, it is an even number, so it is not Prime number.

6n + 2 = 2 (3n + 1), so it is divisible by 2.

6n + 4 = 2 (3n + 2), so it is divisible by 2.

If the number has a remainder of 3 when divided by 6, it is divisible by 3, so it is not a prime number.

6n + 3 = 3 (2n + 1), so it is divisible by 3.

However, there are two prime numbers that do not have a remainder of 1 or 5 when divided by 6 : 2 and 3

Wiki User

14y ago

Earn +20 pts
Q: Why do prime numbers have a remainder of 1 or 5 when divided by 6?
Submit
Still have questions?
Related questions

### Was 1 a prime number?

A prime number can be divided, without a remainder, only by itself and by 1. Zero and 1 are not prime numbers.

### What were the most important ideas given to us by ancient Greek?

Well i think Prime Numbers are quite important! What A Prime number can be divided, without a remainder, only by itself and by 1. For example, 17 can be divided only by 17 and by 1

### Is 7 a prime number why or why not?

Yes, 7 is a prime number because it can only be divided by 1 and itself without leaving a remainder. There are no other whole numbers that can divide evenly into 7.

### What numbers can be divided into 109?

109 is a prime number, therefore the only numbers that can be divided into 109 are:1 and 109."A positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded:The integers 2, 3, 5, and 7 are prime numbers. "-Dictionary.com definition for "prime number".

### What number can be divided in 99 and 100 without leaving a remainder?

1 can be divided into both numbers with no remainder

### How do you divide prime numbers to get a prime number?

The definition of a prime number is a number that can only be divided by 1 and itself. Prime numbers can not be divided by anything but 1.

### What is 49 divided but does not give you a remainder?

49 can be divided by these numbers without leaving a remainder: 1 7 and 49.

### What can 7 be divided by without a remainder?

Only 1 and 7. It is a prime.

### Why is prime?

NO. Prime numbers only can be divided by itself or 1, no other numbers. However 16 can be divided by 2,8,4

0.25

### Greta said that the product of two prime numbers must also be a prime number Joan disagreedWho is correct?

prime number-a number that can only be divided by 1 or itself without resulting in a remainder therefore if the product (multiplying) of 2 prime numbers could be divided by either of the prime numbers, 1, and itself. example 2X3=6 6/1=6 6/6=1 6/3=2 6/2=3

### What are the odd numbers between 1 and 15?

They are the numbers that when divided by 2 leave a remainder of 1