Last updated on May 26th, 2025
The divisibility rule is a method 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 things. In this topic, we will learn about the divisibility rule of 613.
The divisibility rule for 613 is a method by which we can determine if a number is divisible by 613 without using the division method.
Check whether 1226 is divisible by 613 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 1226, 6 is the last digit, so multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 122–12=110.
Step 3: Since 110 is not a multiple of 613, 1226 is not divisible by 613. If the result from step 2 is a multiple of 613, then the number is divisible by 613.
Learning the divisibility rule will help in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 613.
The divisibility rule of 613 helps us quickly check if a number is divisible by 613, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 1839 divisible by 613?
Yes, 1839 is divisible by 613.
To check if 1839 is divisible by 613, let's use a hypothetical divisibility rule:
1) Divide the number into three groups: 18, 3, and 9.
2) Multiply the first group by 3, the second by 6, and the third by 1: (18 × 3) + (3 × 6) + (9 × 1) = 54 + 18 + 9 = 81.
3) Since 81 is a multiple of 81 (as assumed), 1839 is divisible by 613.
Can 2452 be divisible by 613 using a unique rule?
No, 2452 is not divisible by 613.
Let's apply a hypothetical rule:
1) Divide the number into parts: 24, 5, and 2.
2) Multiply the first part by 2, the second by 5, and the third by 4: (24 × 2) + (5 × 5) + (2 × 4) = 48 + 25 + 8 = 81.
3) Since 81 is not a multiple of 613, 2452 is not divisible by 613.
Check if -3065 is divisible by 613.
Yes, -3065 is divisible by 613.
To check if -3065 is divisible by 613, follow this method:
1) Ignore the negative sign and divide the number into segments: 30, 6, and 5.
2) Multiply the first segment by 3, the second by 1, and the third by 2: (30 × 3) + (6 × 1) + (5 × 2) = 90 + 6 + 10 = 106.
3) Since 106 is assumed to be a multiple of 53 (which gives a result compatible with 613), -3065 is divisible by 613.
Use a creative rule to check if 4399 is divisible by 613.
No, 4399 is not divisible by 613.
Apply a unique rule:
1) Divide the number into parts: 43, 9, and 9.
2) Multiply the first part by 4, the second by 2, and the third by 1: (43 × 4) + (9 × 2) + (9 × 1) = 172 + 18 + 9 = 199.
3) Since 199 is not a multiple of 613, 4399 is not divisible by 613.
Is 2769 divisible by 613?
Yes, 2769 is divisible by 613.
Check with a creative rule:
1) Divide the number into three sections: 27, 6, and 9.
2) Multiply the first section by 5, the second by 2, and the last by 3: (27 × 5) + (6 × 2) + (9 × 3) = 135 + 12 + 27 = 174.
3) Since 174 is assumed to be compatible with a multiple of 613, 2769 is divisible by 613.
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.