Is the number 3,996 divisible by 6? Can the first number be divided evenly by the second (without a remainder)? Compare the prime factorizations of the two numbers

Is the number 3,996 divisible by 6?

Method 1. The division of the two numbers:

A natural number 'A' could only be divisible by another number 'B' if after dividing 'A' by 'B' the remainder was zero.


3,996 would be divisible by 6 only if there was a natural number 'n', so that:
3,996 = 'n' × 6


If we divide the two numbers, the remainder is zero:


3,996 ÷ 6 = 666 + remainder 0


=> 3,996 = 666 × 6


=> The number 3,996 is divisible by 6.


6 is a factor (divisor) of the number 3,996:


6 | 3,996


The article continues below...


The abbreviation 6 | 3,996 means that the number 6 is a factor (divisor) of the number 3,996.


3,996 is a multiple of the number 6.


The number 3,996 is divisible by 6:
6 | 3,996
Scroll down for the 2nd method...

Method 2. The prime factorization of the numbers

When are two numbers divisible?

The number 3,996 would be divisible by 6 only if its prime factorization (the decomposition into prime factors) contained all the prime factors that appear in the prime factorization of the number 6.


The prime factorization of the numbers:

The prime factorization of a number (the decomposition into prime factors): finding the prime numbers that multiply together to make that number.


3,996 = 22 × 33 × 37
3,996 is not a prime number but a composite one.


6 = 2 × 3
6 is not a prime number but a composite one.



* The natural numbers that are divisible only by 1 and themselves are called prime numbers. A prime number has exactly two factors: 1 and itself.
* A composite number is a natural number that has at least one other factor than 1 and itself.


3,996 contains all the prime factors of the number 6.


=> The number 3,996 is divisible by 6:


6 | 3,996


The abbreviation 6 | 3,996 means that the number 6 is a factor (divisor) of the number 3,996.


6 is a factor (divisor) of the number 3,996.


3,996 is a multiple of the number 6.

The final answer:

The number 3,996 is divisible by 6:
6 | 3,996

The two numbers divide each other without a remainder.
3,996 contains all the prime factors of the number 6.
6 is a factor (divisor) of the number 3,996.
3,996 is a multiple of the number 6.

Divisibility: the latest 5 pairs of numbers checked on whether they are divisible or not

Is 3,996 divisible by 6? Jan 30 15:31 UTC (GMT)
Is 15 divisible by 3? Jan 30 15:31 UTC (GMT)
Is 185 divisible by 4? Jan 30 15:31 UTC (GMT)
Is 25,472 divisible by 11? Jan 30 15:31 UTC (GMT)
Is 13 divisible by 261? Jan 30 15:31 UTC (GMT)
The list of all the pairs of numbers that were checked on whether they are divisible or not

Calculator: Are the two numbers divisible?

The divisibility of the natural numbers:

Method 1: Divide the numbers and check the remainder of the operation. If the remainder is zero, then the numbers are divisible.

Method 2: The prime factorization of the numbers (the decomposition of the numbers into prime factors).

1. What is the numbers' divisibility? 2. Divisibility rules. 3. Calculating the divisors (factors). 4. Quick ways to determine whether a number is divisible by another one or not.

Some articles on the prime numbers

What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples