Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 306
The divisibility rule for 306 is a method by which we can find out if a number is divisible by 306 or not without using the division method. Check whether 612 is divisible by 306 with the divisibility rule.
Step 1: Check if the number is divisible by 2. Here, 612 ends in 2, which is even, so it is divisible by 2.
Step 2: Check if the number is divisible by 3. Add the digits of the number: 6 + 1 + 2 = 9. Since 9 is divisible by 3, 612 is divisible by 3.
Step 3: Check if the number is divisible by 17. Use actual division to verify: 612 ÷ 17 = 36, which is a whole number.
Since 612 is divisible by 2, 3, and 17, it is divisible by 306.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 306
Memorize the prime factors of 306 (2, 3, 17) to quickly check the divisibility. If a number is divisible by these, it is divisible by 306.
Calculate 306 as 2 × 3 × 17 to understand the rule better and check each factor.
Students should keep repeating the divisibility process for each factor until they reach a conclusion.
Students can use the division method as a way to verify and cross-check their results. This will help them to confirm their findings.
The divisibility rule of 306 helps us to quickly check if a given number is divisible by 306, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 612 divisible by 306?
Yes, 612 is divisible by 306.
1) Divide 612 by 306.
2) 612 ÷ 306 = 2, which is an integer.
3) Therefore, 612 is divisible by 306.
Check the divisibility rule of 306 for 1224.
Yes, 1224 is divisible by 306.
1) Divide 1224 by 306.
2) 1224 ÷ 306 = 4, which is an integer.
3) Therefore, 1224 is divisible by 306
Is 918 divisible by 306?
Yes, 918 is divisible by 306.
1) Divide 918 by 306.
2) 918 ÷ 306 = 3, which is an integer.
3) Therefore, 918 is divisible by 306.
Can 715 be divisible by 306 following the divisibility rule?
No, 715 isn't divisible by 306.
1) Divide 715 by 306.
2) 715 ÷ 306 ≈ 2.337, which is not an integer.
3) Therefore, 715 is not divisible by 306.
Check the divisibility rule of 306 for 1836.
Yes, 1836 is divisible by 306.
1) Divide 1836 by 306.
2) 1836 ÷ 306 = 6, which is an integer.
3) Therefore, 1836 is divisible by 306.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.