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 107.
The divisibility rule for 107 is a method by which we can find out if a number is divisible by 107 or not without using the division method. Check whether 3210 is divisible by 107 with the divisibility rule.
Step 1: Break down the number into groups of three digits starting from the right. In 3210, the groups are 3 and 210.
Step 2: Subtract the first group from the second group. i.e., 210 - 3 = 207.
Step 3: As it is shown that 207 is not a multiple of 107, therefore, the number is not divisible by 107. If the result from step 2 is a multiple of 107, then the number is divisible by 107.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 107.
The divisibility rule of 107 helps us quickly check if a given number is divisible by 107, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2140 divisible by 107?
Yes, 2140 is divisible by 107.
To check if 2140 is divisible by 107, follow these steps:
1) Double the last digit of the number, 0 × 2 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 214 – 0 = 214.
3) Since 214 is a multiple of 107 (107 × 2 = 214), 2140 is divisible by 107.
Check the divisibility rule of 107 for 5350.
Yes, 5350 is divisible by 107.
To check if 5350 is divisible by 107:
1) Double the last digit, 0 × 2 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 535 – 0 = 535.
3) Since 535 is a multiple of 107 (107 × 5 = 535), 5350 is divisible by 107.
Is 1284 divisible by 107?
No, 1284 is not divisible by 107.
To check the divisibility of 1284 by 107:
1) Double the last digit, 4 × 2 = 8.
2) Subtract the result from the remaining digits, excluding the last digit, 128 – 8 = 120.
3) Since 120 is not a multiple of 107, 1284 is not divisible by 107.
Can 962 be divisible by 107 following the divisibility rule?
No, 962 is not divisible by 107.
To check if 962 is divisible by 107:
1) Double the last digit, 2 × 2 = 4.
2) Subtract the result from the remaining digits, excluding the last digit, 96 – 4 = 92.
3) Since 92 is not a multiple of 107, 962 is not divisible by 107
Check the divisibility rule of 107 for 321.
Yes, 321 is divisible by 107.
To check if 321 is divisible by 107:
1) Double the last digit, 1 × 2 = 2.
2) Subtract the result from the remaining digits, excluding the last digit, 32 – 2 = 30.
3) Since 30 is not a multiple of 107, I made a mistake in my calculation. Let me correct this. Since my previous calculation was incorrect, let me retry: 321 should be checked directly using division as no simple divisibility trick applies here. Thus, 321 divided by 107 gives a whole number (3), confirming it is divisible by 107.
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.