Last updated on May 26th, 2025
The divisibility rule is a technique to determine whether a number is divisible by another number without performing direct division. In real life, divisibility rules help us with quick calculations, evenly dividing things, and sorting items. In this topic, we will learn about the divisibility rule of 493.
The divisibility rule for 493 is a method to determine if a number is divisible by 493 without using direct division. Let's check whether 986 is divisible by 493 using this rule.
Step 1: Multiply the last digit of the number by 986 by 493's last digit. Here, 6 is the last digit of 986. Multiply it by 3. So, 6 × 3 = 18.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. So, 98 - 18 = 80.
Step 3: Since 80 is not a multiple of 493, 986 is not divisible by 493. If the result from Step 2 were a multiple of 493, then the number would be divisible by 493.
Learning the divisibility rule will help kids master division. Here are some tips and tricks for the divisibility rule of 493.
The divisibility rule of 493 helps us quickly check if a given number is divisible by 493, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Can 987,654 be divided by 493 without a remainder?
No, 987,654 is not divisible by 493.
To determine if 987,654 is divisible by 493, we can follow these steps:
1) Consider the last three digits, which are 654.
2) Calculate 654 modulo 493, which gives 161.
3) Since 161 is not zero, 987,654 is not divisible by 493.
Is the number 246,500 divisible by 493?
No, 246,500 is not divisible by 493.
To check divisibility by 493:
1) Take the last three digits, 500.
2) Compute 500 modulo 493, which results in 7.
3) Since 7 is not zero, 246,500 is not divisible by 493.
Determine if 1,479,000 is divisible by 493.
Yes, 1,479,000 is divisible by 493.
To check divisibility:
1) Take the last three digits, 000.
2) Calculate 000 modulo 493, which is 0.
3) Since the result is zero, 1,479,000 is divisible by 493.
Can 2,967,123 be evenly divided by 493?
No, 2,967,123 is not divisible by 493.
Follow these steps:
1) Consider the last three digits, 123.
2) Compute 123 modulo 493, which equals 123.
3) Since 123 is not zero, 2,967,123 is not divisible by 493.
Is 789,492 divisible by 493?
Yes, 789,492 is divisible by 493.
To check:
1) Take the last three digits, 492.
2) Calculate 492 modulo 493, which results in 492.
3) Since the remainder is one less than 493 (and thus indicates one full cycle), 789,492 is divisible by 493.
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.