Last updated on May 26th, 2025
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 309.
The divisibility rule for 309 is a method by which we can find out if a number is divisible by 309 or not without using the division method. Check whether 61782 is divisible by 309 with the divisibility rule.
Step 1: Break down 309 into its prime factors, which are 3, 3, and 103.
Step 2: Check if the number is divisible by 3. Add up the digits of 61782: 6 + 1 + 7 + 8 + 2 = 24. Since 24 is divisible by 3, 61782 is divisible by 3.
Step 3: Check if the number is divisible by 103. Use the division method to check if 61782 is divisible by 103. After performing the division, we find that 61782 is divisible by 103 without a remainder.
Step 4: Since 61782 is divisible by all the prime factors of 309, it is divisible by 309.
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 309.
Memorize the multiples of 309 (309, 618, 927, etc.) to quickly check divisibility. If the number is a multiple of 309, then it is divisible by 309.
Break down 309 into its prime factors (3 and 103) and check divisibility with each factor separately.
Students should keep repeating the divisibility process with the factors until they reach a small number that is divisible by all the factors. For example, check if 927 is divisible by 309 using the divisibility test. First, check divisibility by 3: 9 + 2 + 7 = 18, which is divisible by 3. Then use the division method for 103: 927 ÷ 103 = 9. Since 927 is divisible by both 3 and 103, it is divisible by 309.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
The divisibility rule of 309 helps us quickly check if a given number is divisible by 309, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 927 divisible by 309?
Yes, 927 is divisible by 309.
To determine if 927 is divisible by 309, we can directly divide 927 by 309.
1) Calculate 927 ÷ 309 = 3.
2) Since the quotient is a whole number, 927 is divisible by 309.
Check the divisibility rule of 309 for 1854.
Yes, 1854 is divisible by 309.
To check if 1854 is divisible by 309, we will divide the number.
1) Calculate 1854 ÷ 309 = 6.
2) As the quotient is an integer, 1854 is divisible by 309.
Is -618 divisible by 309?
Yes, -618 is divisible by 309.
To verify if -618 is divisible by 309, we focus on the positive value.
1) Calculate 618 ÷ 309 = 2.
2) Since the result is a whole number, -618 is divisible by 309.
Can 500 be divisible by 309 following the divisibility rule?
No, 500 is not divisible by 309.
To check if 500 is divisible by 309, divide it by 309.
1) Calculate 500 ÷ 309 ≈ 1.62.
2) The quotient is not an integer, so 500 is not divisible by 309.
Check the divisibility rule of 309 for 1545.
Yes, 1545 is divisible by 309.
To verify if 1545 is divisible by 309, perform the division.
1) Calculate 1545 ÷ 309 = 5.
2) The result is a whole number, indicating that 1545 is divisible by 309.
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.