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 31.
The divisibility rule for 31 is a method by which we can find out if a number is divisible by 31 or not without using the division method. Check whether 372 is divisible by 31 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 372, 2 is the last digit. Multiply it by 3. 2 × 3 = 6.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 37 - 6 = 31.
Step 3: As it is shown that 31 is a multiple of 31, therefore, the number is divisible by 31. If the result from step 2 isn't a multiple of 31, then the number isn't divisible by 31.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 31.
The divisibility rule of 31 helps us to quickly check if the given number is divisible by 31, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Is 341 divisible by 31?
Yes, 341 is divisible by 31.
To check if 341 is divisible by 31:
1) Multiply the last digit by 3, 1 × 3 = 3.
2) Subtract the result from the remaining digits, 34 - 3 = 31.
3) Since 31 is a multiple of 31, 341 is divisible by 31.
Check the divisibility rule of 31 for 620.
No, 620 is not divisible by 31
For checking the divisibility of 620:
1) Multiply the last digit by 3, 0 × 3 = 0.
2) Subtract the result from the remaining digits, 62 - 0 = 62.
3) Since 62 is not a multiple of 31, 620 is not divisible by 31.
Is -155 divisible by 31?
No, -155 is not divisible by 31.
To check if -155 is divisible by 31:
1) Ignore the negative sign and multiply the last digit by 3, 5 × 3 = 15.
2) Subtract the result from the remaining digits, 15 - 15 = 0.
3) Since 0 is not a multiple of 31, -155 is not divisible by 31.
Can 1240 be divisible by 31 following the divisibility rule?
Yes, 1240 is divisible by 31.
To check if 1240 is divisible by 31:
1) Multiply the last digit by 3, 0 × 3 = 0.
2) Subtract the result from the remaining digits, 124 - 0 = 124.
3) Since 124 is a multiple of 31 (31 × 4 = 124), 1240 is divisible by 31.
Check the divisibility rule of 31 for 961.
Yes, 961 is divisible by 31.
To check the divisibility rule of 31 for 961:
1) Multiply the last digit by 3, 1 × 3 = 3.
2) Subtract the result from the remaining digits, 96 - 3 = 93.
3) Since 93 is a multiple of 31 (31 × 3 = 93), 961 is divisible by 31.
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.