193 LearnersLast updated on May 26th, 2025
Divisibility Rule of 354
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 354.
What is the Divisibility Rule of 354?
The divisibility rule for 354 is a method by which we can determine if a number is divisible by 354 without using the division method.
Check whether 708 is divisible by 354 using the divisibility rule.
Step 1: Check divisibility by 2. The last digit of 708 is 8, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. Sum the digits of 708: 7 + 0 + 8 = 15. Since 15 is divisible by 3, 708 is divisible by 3.
Step 3: Check divisibility by 59. Use a calculator or long division to verify if 708 is exactly divisible by 59. In this case, 708 ÷ 59 = 12, which is an integer, so 708 is divisible by 59.
Since 708 is divisible by 2, 3, and 59, it is divisible by 354.
Tips and Tricks for Divisibility Rule of 354
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 354.
Know the factors of 354:
Memorize the factors of 354 (2, 3, and 59) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 354.
Use divisibility tests for smaller factors:
First, check divisibility by smaller factors like 2 and 3, as these are quicker to verify before moving to larger factors like 59.
Use technology for larger numbers:
For checking divisibility by larger numbers (like 59 in this case), use a calculator or long division to verify.
Repeat the process for large numbers:
For large numbers, continue using the divisibility tests of all factors until you confirm divisibility by all, ensuring the number is divisible by 354.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 354
The divisibility rule of 354 helps us to quickly check if a given number is divisible by 354, but common mistakes like calculation errors lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by all factors.
Ensure to check divisibility by all factors (2, 3, and 59) of 354 to confirm.
Mistake 2
Incorrect calculation of sums or divisions.
Double-check your calculations, especially when summing digits or dividing by larger numbers.
Mistake 3
Not using a calculator for complex calculations.
Use a calculator for divisions, especially with larger numbers like 59, to ensure accuracy.
Mistake 4
Confusing the process with other divisibility rules.
Practice regularly to familiarize yourself with the specific steps for checking divisibility by 354.
Mistake 5
Skipping steps due to assumptions.
Always follow all steps to ensure accurate results without assumptions.
Divisibility Rule of 354 Examples
Problem 1
Is 2124 divisible by 354?
Yes, 2124 is divisible by 354.
Explanation
To check if 2124 is divisible by 354, follow these steps:
1) Divide 2124 by 354 directly.
2) 2124 ÷ 354 = 6 with no remainder.
3) The division results in a whole number, confirming that 2124 is divisible by 354.
Problem 2
Check if 708 is divisible by 354.
Yes, 708 is divisible by 354.
Explanation
To verify divisibility of 708 by 354:
1) Divide 708 by 354.
2) 708 ÷ 354 = 2 with no remainder.
3) Since the quotient is a whole number, 708 is divisible by 354.
Problem 3
Is 1770 divisible by 354?
No, 1770 is not divisible by 354.
Explanation
To determine if 1770 is divisible by 354:
1) Divide 1770 by 354.
2) 1770 ÷ 354 = 5 with a remainder.
3) The division leaves a remainder, indicating 1770 is not divisible by 354.
Problem 4
Can 3540 be divisible by 354?
Yes, 3540 is divisible by 354.
Explanation
To confirm divisibility of 3540 by 354:
1) Divide 3540 by 354.
2) 3540 ÷ 354 = 10 with no remainder.
3) The result is a whole number, so 3540 is divisible by 354.
Problem 5
Check the divisibility of 1062 by 354.
Yes, 1062 is divisible by 354.
Explanation
To check if 1062 is divisible by 354:
1) Divide 1062 by 354.
2) 1062 ÷ 354 = 3 with no remainder.
3) Since the quotient is a whole number, 1062 is divisible by 354.
FAQs on Divisibility Rule of 354
1.What is the divisibility rule for 354?
2.How many numbers are there between 1 and 1000 that are divisible by 354?
3.Is 354 divisible by 354?
4.What if I get 0 after division?
5.Does the divisibility rule of 354 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 354?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 354 with numbers?
8.What role do numbers and Divisibility Rule of 354 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 354 skills?
Important Glossaries for Divisibility Rule of 354
- Divisibility rule: The set of rules used to determine if a number is divisible by another number without actual division.
- Factors: Numbers that divide another number exactly without leaving a remainder. For example, factors of 354 are 2, 3, and 59.
- Integers: Whole numbers that include positive numbers, negative numbers, and zero.
- Sum: The result of adding numbers together. Used for checking divisibility by 3.
- Division: The process of determining how many times one number is contained within another. Used for verifying divisibility.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
