Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division method. In real life, we can use the divisibility rule for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 801.
The divisibility rule for 801 is a method by which we can find out if a number is divisible by 801 without using the division method. Check whether 2403 is divisible by 801 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2; here in 2403, 3 is the last digit, so multiply it by 2. 3 × 2 = 6
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 240–6 = 234.
Step 3: Repeat the process to ensure the number is small enough to check easily. Multiply the last digit of 234 by 2, 4 × 2 = 8. Subtract this from the remaining number, 23–8 = 15.
Step 4: Since 15 is not a multiple of 801, the original number 2403 is not divisible by 801. If the result from the repeated steps were 0 or a multiple of 801, the number would be divisible by 801.
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 801.
Memorize the multiples of 801 (801, 1602, 2403, etc.) to quickly check divisibility. If the result from the subtraction process matches one of these multiples, the number is divisible by 801.
If the result we get after subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 801. For example, check if 4812 is divisible by 801 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 481–4 = 477. Repeat the process: 7 × 2 = 14, 47–14 = 33. Since 33 is not a multiple of 801, 4812 is not divisible by 801.
Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
The divisibility rule of 801 helps us to quickly check if a given number is divisible by 801, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2403 divisible by 801?
Yes, 2403 is divisible by 801.
To check if 2403 is divisible by 801, let's use the divisibility rule.
1) Divide 2403 by 801, the result is exactly 3 with no remainder.
2) Since there is no remainder, 2403 is divisible by 801.
Check the divisibility rule of 801 for 1602.
No, 1602 is not divisible by 801.
To determine if 1602 is divisible by 801:
1) Divide 1602 by 801, the result is 2 with a remainder.
2) Since there is a remainder, 1602 is not divisible by 801.
Is 0 divisible by 801?
Yes, 0 is divisible by 801.
Any number, including 0, is divisible by any non-zero number.
1) Divide 0 by 801, the result is 0.
2) Since the division results in 0 with no remainder, 0 is divisible by 801.
Can 3204 be divisible by 801 following the divisibility rule?
Yes, 3204 is divisible by 801.
To check if 3204 is divisible by 801:
1) Divide 3204 by 801, the result is exactly 4 with no remainder.
2) Since there is no remainder, 3204 is divisible by 801.
Check the divisibility rule of 801 for 481.
No, 481 is not divisible by 801.
To check if 481 is divisible by 801:
1) 481 is less than 801, and dividing 481 by 801 would result in a fraction.
2) Since 481 is less than 801 and does not divide evenly, it is not divisible by 801.
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.