Last updated on May 26th, 2025
The divisibility rule is a way 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 523.
The divisibility rule for 523 is a method by which we can find out if a number is divisible by 523 or not without using the division method. Check whether 1046 is divisible by 523 using the divisibility rule.
Step 1: Multiply the last digit of the number by 104, here in 1046, 6 is the last digit, so multiply it by 104. 6 × 104 = 624.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 104 – 624 = -520.
Step 3: As it is shown that -520 is a multiple of 523 (since -520 + 1046 = 526, which is a multiple of 523), therefore, the number is divisible by 523. If the result from Step 2 isn't a multiple of 523, then the number isn't divisible by 523.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 523.
Memorize the multiples of 523 (523, 1046, 1569, 2092, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 523, then the number is divisible by 523.
If the result we get after the subtraction is negative, we will 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 523. For example, check if 2092 is divisible by 523 using the divisibility test. Multiply the last digit by 104, i.e., 2 × 104 = 208. Subtract the remaining digits excluding the last digit by 208, 209 – 208 = 1. Since 1 + 523 = 524, which is not a multiple of 523, 2092 is not divisible by 523.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
The divisibility rule of 523 helps us quickly check if a given number is divisible by 523, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Is 1569 divisible by 523?
Yes, 1569 is divisible by 523.
To check divisibility by 523, we can directly divide the number.
1) Divide 1569 by 523, resulting in 1569 ÷ 523 = 3.
2) The result is a whole number with no remainder, which means 1569 is divisible by 523.
Check the divisibility of 2615 by 523.
Yes, 2615 is divisible by 523.
We use basic division to check divisibility.
1) Divide 2615 by 523, resulting in 2615 ÷ 523 = 5.
2) Since the division results in a whole number without any remainder, 2615 is divisible by 523.
Is 1046 divisible by 523?
No, 1046 is not divisible by 523.
We verify divisibility through direct division.
1) Divide 1046 by 523, resulting in 1046 ÷ 523 = 2 with a remainder.
2) As there is a remainder after division, 1046 is not divisible by 523.
Can 5230 be divisible by 523?
Yes, 5230 is divisible by 523.
Check divisibility through division.
1) Divide 5230 by 523, resulting in 5230 ÷ 523 = 10.
2) The division results in a whole number with no remainder, indicating 5230 is divisible by 523.
Is 4024 divisible by 523?
No, 4024 is not divisible by 523.
Use division to check for divisibility.
1) Divide 4024 by 523, resulting in 4024 ÷ 523 = 7 with a remainder.
2) Since there is a remainder, 4024 is not divisible by 523.
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.