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Last updated on March 29th, 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 510.
The divisibility rule for 510 is a method by which we can find out if a number is divisible by 510 or not without using the division method. Check whether 3060 is divisible by 510 using the divisibility rule.
Step 1: Check divisibility by 2, 3, and 5, since 510 = 2 × 3 × 5 × 17.
The number should end with an even digit for divisibility by 2.
The sum of the digits should be divisible by 3.
The number should end with a 0 or 5 for divisibility by 5.
Step 2: Confirm divisibility by 17.
Divide the number by 17 and check if the result is an integer.
Step 3: If the number passes all the above checks, it is divisible by 510.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 510.
Know the multiples of 510: Memorize multiples of 510 to quickly check divisibility. If the result from the division is an integer, then the number is divisible by 510.
Use negative numbers for verification: If the result we get after subtraction or division is negative, consider it as positive for checking the divisibility of a number.
Break it down: Since 510 is a product of several factors, check divisibility using smaller factors first (2, 3, and 5) before checking with 17.
Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
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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.