How many 4 digit numbers are there which are divisible by 6?
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How many 4 digit numbers are there which are divisible by 6?
Detailed Solution. So, there is a total of 50 numbers possible.
What digits are divisible by 6?
A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156. [We know the rules of divisibility by 2, if the unit’s place of the number is either 0 or multiple of 2].
What is the smallest 4 digit number divisible by 6?
Now the smallest four digit number is 1000. divide it by 72 we get 13 as quotient and 64 as remainder so add 8 to 1000 then 1008 is the smallest 4 digit number divisible by 6,8 and 9.
Which is the greatest 4 digit number that is exactly divisible by 4 and 6?
The greatest number of four digit is 9999.
How do you know if a number is divisible by 6?
Divisibility by 6 is determined by checking the original number to see if it is both an even number (divisible by 2) and divisible by 3. This is the best test to use. If the number is divisible by six, take the original number (246) and divide it by two (246 ÷ 2 = 123).
How can a number be divisible by 6?
The Rule for 6: The prime factors of 6 are 2 and 3. So for a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.
How many two digit numbers are there which are divisible by 6?
15
So the number of two digit numbers which are divisible by 6 are 15.
How do you find the divisibility of 6?
Divisibility Rule of 6 for Large Numbers
- Step 1: Check the unit place digit of the number.
- Step 2: Check the sum of all digits of the number.
- Step 3: If step 1 and step 2 say that the large number is divisible by 2 and 3 both then the large number is said to be divisible by 6.
Is 36 divisible by 6 yes or no?
We can see that 36 IS divisible by both 3 and 2, which means that 36 IS divisible by 6.
Is 646 divisible by 6?
For 646 to be divisible by 6, both of the following two criteria must be met: First, 646 has to be an even number and second, the sum of its digits must be divisible by 3. Looking at 646, you see that 646 is an even number, which means that the first criteria is met. The sum of the digits in 646 is 16,…
Which numbers have 6 as a factor?
Prime Factors of 6. The prime factors of 6 are the prime numbers which divide 6 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 6 divides the number 6 without any rest, modulo 0. For 6, the prime factors are: 2, 3.
What are the multiples of the number 6?
The first eight multiples of the number six are 6, 12, 18, 24, 30, 36, 42 and 48. Multiples are obtained by multiplying a number by integers, so the multiples of 6 can be obtained by multiplying 6 by integers starting from 1.
What is the divisibility rule for all numbers?
A divisibility rule is a shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, and they are all different, we present rules only for decimal numbers.