A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. And a number is divisible by 6 if it is divisible by 2 (even number) and by 3.
Which of the following numbers is divisible by 3 and 9?
Consider the numbers 2, 23, 234, 2345, 23456, 234567. We observe that among these 6 numbers, only 234 and 234567 are divisible by 3.
What are the divisibility rules for 9?
The divisibility rule of 9 states that if the sum of digits of any number is divisible by 9, then the number is also divisible by 9. It helps us in various concepts like finding divisors, HCF, LCM, measurements, and division.
Can a number be divisible by 2, 3 and 9?
For a number to be divisible by 2, 3 and 9, we need find the common multiples of these 3 numbers. But first we need find the least common multiple, or LCM, of them. The multiples of 2 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 … The multiples of 3 include: 3, 6, 9, 12, 15, 18, 21 … The multiples of 9 include: 9, 18, 27…
Is the number 6 divisible by 3 in math?
No, it’s not! That means 6,701 is not divisible by 3. You already know half of the divisibility rule for 6! It is divisible by 3. It is divisible by 2. We just learned to add the digits of a number together to find out if it is divisible by 3.
Which is easier to divide 3, 6 or 9?
However, some of the rules are easier to use than others. For the rest, it might just be simpler to actually divide. Here is a look at the rules for 3, 6, and 9. The Rule for 3: A number is divisible by 3 if the sum of the digits is divisible by 3.
Which is the smallest number divisible by 2, 3 and 3?
First get the prime factors of 2, 3 and 9. 2 and 3 are prime, 9 = 3*3. So any number with 2 (at least once) and 3 (at least twice) is divisible by 2, 3 and 9. The smallest positive such number is 2*3*3 = 18. Any multiple of 18 (positive or negative) is also divisible by 2, 3 and 9.
