Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use divisibility rules for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 465.
The divisibility rule for 465 is a method by which we can determine if a number is divisible by 465 without using the division method. Check whether 930 is divisible by 465 with the divisibility rule.
Step 1: Check if the number is divisible by 5. Since 930 ends in 0, it is divisible by 5.
Step 2: Check if the number is divisible by 3. Add the digits: 9+3+0=12. Since 12 is divisible by 3, 930 is also divisible by 3.
Step 3: Check if the number is divisible by 31 (since 465=5×3×31 and we have already checked for 5 and 3). Divide 930 by 31: 930÷31=30, which is an integer.
Since 930 is divisible by 5, 3, and 31, it is divisible by 465.
Knowing the individual divisibility rules for 5, 3, and 31 will help you master the divisibility rule for 465. Let’s learn a few tips and tricks for this rule.
The divisibility rule of 465 helps us quickly check if a number is divisible by 465, but mistakes can occur. Here are some common errors and solutions.
Is 3720 divisible by 465?
Yes, 3720 is divisible by 465.
To check if 3720 is divisible by 465, use the following steps:
1) Divide 3720 by 465.
2) The result is exactly 8, with no remainder, indicating that 3720 is divisible by 465.
Check the divisibility rule of 465 for 930.
Yes, 930 is divisible by 465.
For checking divisibility, divide 930 by 465:
1) 930 ÷ 465 = 2 with no remainder.
2) Since there is no remainder, 930 is divisible by 465.
Is -1395 divisible by 465?
Yes, -1395 is divisible by 465.
To check if -1395 is divisible by 465:
1) Remove the negative sign and check divisibility: 1395 ÷ 465.
2) The result is exactly 3, with no remainder, showing -1395 is divisible by 465.
Can 2550 be divisible by 465 following the divisibility rule?
No, 2550 isn't divisible by 465.
To check if 2550 is divisible by 465:
1) Divide 2550 by 465.
2) The quotient is 5 with a remainder, indicating 2550 is not divisible by 465.
Check the divisibility rule of 465 for 6975.
Yes, 6975 is divisible by 465.
To check divisibility for 6975:
1) Divide 6975 by 465.
2) The quotient is exactly 15, with no remainder, confirming 6975 is divisible by 465.
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.