148 LearnersLast updated on May 26th, 2025
Divisibility Rule of 708
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 708.
What is the Divisibility Rule of 708?
The divisibility rule for 708 is a method by which we can find out if a number is divisible by 708 or not without using the division method. Check whether 2124 is divisible by 708 with the divisibility rule.
Step 1: Check divisibility by 2, 3, and 59 because 708 = 2 × 3 × 59.
For 2: Ensure the last digit is even. Here, 2124 ends in 4, so it is divisible by 2.
For 3: Sum the digits (2 + 1 + 2 + 4 = 9), which is divisible by 3.
For 59: Use long division or a calculator to check divisibility by 59 directly.
Step 2: Since 2124 is divisible by 2, 3, and 59, 2124 is divisible by 708.
Tips and Tricks for Divisibility Rule of 708
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 708.
Memorize the factors of 708:
Knowing that 708 = 2 × 3 × 59 will help you quickly apply the divisibility tests for 2, 3, and 59.
Use digital sum for divisibility by 3:
Sum the digits of the number. If the sum is divisible by 3, the original number is as well.
Check the last digit for divisibility by 2:
Ensure the number ends with an even digit (0, 2, 4, 6, 8).
Use the division method to verify:
Use division to verify and cross-check your results. This will help confirm the divisibility of large numbers.
Common Mistakes and How to Avoid Them in Divisibility Rule of 708
The divisibility rule of 708 helps us quickly check if a given number is divisible by 708, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure you check divisibility by 2, 3, and 59 when testing for 708.
Mistake 2
Ignoring the importance of even numbers.
Remember that the last digit must be even for divisibility by 2.
Mistake 3
Forgetting to sum the digits for divisibility by 3.
Always sum the digits to check for divisibility by 3.
Mistake 4
Not using a calculator for divisibility by 59.
Use a calculator or long division to check divisibility by 59.
Mistake 5
Confusing the steps.
Practice regularly and follow each step to avoid confusion.
Divisibility Rule of 708 Examples
Problem 1
Is 1416 divisible by 708?
Yes, 1416 is divisible by 708.
Explanation
To check the divisibility of 1416 by 708, divide 1416 by 708.
1) 1416 ÷ 708 = 2.
2) Since the result is an integer (2), 1416 is divisible by 708.
Problem 2
Check if 3540 is divisible by 708.
No, 3540 is not divisible by 708.
Explanation
To determine if 3540 is divisible by 708:
1) Divide 3540 by 708 to see if the quotient is an integer.
2) 3540 ÷ 708 ≈ 5.0 (not an integer).
3) Therefore, 3540 is not divisible by 708.
Problem 3
Can 2832 be evenly divided by 708?
Yes, 2832 is divisible by 708.
Explanation
To confirm if 2832 is divisible by 708:
1) Calculate 2832 ÷ 708.
2) The result is exactly 4, which is an integer.
3) Thus, 2832 can be evenly divided by 708.
Problem 4
Is the number 5000 divisible by 708?
No, 5000 is not divisible by 708.
Explanation
To check if 5000 is divisible by 708:
1) Divide 5000 by 708.
2) 5000 ÷ 708 ≈ 7.06 (not an integer).
3) Hence, 5000 is not divisible by 708.
Problem 5
Is 14160 divisible by 708?
Yes, 14160 is divisible by 708.
Explanation
To verify the divisibility of 14160 by 708:
1) Perform the division 14160 ÷ 708.
2) The quotient is exactly 20, an integer.
3) Therefore, 14160 is divisible by 708.
FAQs on Divisibility Rule of 708
1.What is the divisibility rule for 708?
2.How do you check divisibility by 2?
3.How do you check divisibility by 3?
4.Is 354 divisible by 708?
5.Can the divisibility rule for 708 be applied to negative numbers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 708?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 708 with numbers?
8.What role do numbers and Divisibility Rule of 708 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 708 skills?
Important Glossaries for Divisibility Rule of 708
- Divisibility rule: A set of guidelines to determine if a number can be divided by another without a remainder.
- Factors: Numbers that are multiplied together to get another number (e.g., 2, 3, and 59 are factors of 708).
- Multiples: The result of multiplying a number by an integer (e.g., multiples of 708 are 708, 1416, 2124, etc.).
- Even number: A number divisible by 2, ending in 0, 2, 4, 6, or 8.
- Digital sum: The sum of the digits of a number, used to check divisibility by 3.
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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
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