Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 162.
The divisibility rule for 162 is a method by which we can find out if a number is divisible by 162 without using the division method. Let's check whether 2916 is divisible by 162 using the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 9. A number is divisible by 162 if it is divisible by 2, 3, and 9.
For divisibility by 2, the last digit of the number should be even. Here, 6 is even.
For divisibility by 3, the sum of the digits should be a multiple of 3. Here, 2 + 9 + 1 + 6 = 18, and 18 is a multiple of 3.
For divisibility by 9, the sum of the digits should be a multiple of 9. Here, 18 is a multiple of 9.
Step 2: Since 2916 satisfies all three conditions, it is divisible by 162.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 162.
The divisibility rule of 162 helps us quickly check if a given number is divisible by 162, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is the number of seats in a theater, 648, divisible by 162?
Yes, 648 is divisible by 162.
To determine if 648 is divisible by 162, we can apply the divisibility rule:
1) Break down the number into parts that can easily be divided by 162, such as 162 × 4 = 648.
2) Since 648 is the product of 162 and an integer, 4, it is divisible by 162.
A factory produces 1,458 widgets in a day. Can these widgets be packed equally into boxes of 162 each?
Yes, 1,458 is divisible by 162.
To check if 1,458 can be divided equally into boxes of 162:
1) Divide 1,458 by 162, which gives 9.
2) Since 1,458 divided by 162 results in a whole number, 9, the widgets can be packed equally.
Is a library's collection of 324 books divisible by 162?
Yes, 324 is divisible by 162.
To determine divisibility:
1) Divide 324 by 162, which gives 2.
2) Since the division results in a whole number, 2, 324 is divisible by 162.
A school event has 972 participants. Can they be grouped into teams of 162?
Yes, 972 is divisible by 162.
To verify:
1) Divide 972 by 162, which gives 6.
2) The result is a whole number, hence 972 can be divided equally into groups of 162.
A shipment contains 486 items. Can these items be organized into stacks of 162?
No, 486 is not divisible by 162.
To check:
1) Divide 486 by 162, which gives approximately 3.
2) Since the result is not a whole number, 486 cannot be divided equally into stacks of 162.
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.