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135 LearnersLast updated on February 14th, 2025
Divisibility Rule of 624
The divisibility rule is a way to determine 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 624.
What is the Divisibility Rule of 624?
The divisibility rule for 624 is a method by which we can find out if a number is divisible by 624 or not without using the division method. Check whether 7488 is divisible by 624 with the divisibility rule.
Step 1: Check if the number is divisible by 8 and 3, as 624 is the product of these two factors (624 = 8 × 3 × 26).
Step 2: Check divisibility by 8: The last three digits of the number should form a number divisible by 8. Here, 488 is divisible by 8 (488 ÷ 8 = 61).
Step 3: Check divisibility by 3: The sum of the digits of the number should be divisible by 3. Here, 7 + 4 + 8 + 8 = 27, and 27 is divisible by 3.
Step 4: Since 7488 is divisible by both 8 and 3, it is divisible by 624.
Tips and Tricks for Divisibility Rule of 624
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 624.
1. Know the factors:
Understand the prime factorization of 624 (8, 3, and 26) for quick checks.
2. Memorize divisibility rules for 8 and 3:
These are essential for applying the rule to 624.
3. Repeat the process for large numbers:
For large numbers, verify divisibility by repeatedly checking smaller segments of the number.
4. Use the division method to verify:
Use division to verify and cross-check the results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 624
The divisibility rule of 624 helps us to quickly check if a given number is divisible by 624, 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 all factors.
Ensure you verify divisibility by 8 and 3 as part of the process.
Divisibility Rule of 624 Examples
Problem 1
Is 1248 divisible by 624?
Yes, 1248 is divisible by 624.
Explanation
To check if 1248 is divisible by 624, follow these steps:
1) Divide 1248 by 624.
2) The result is exactly 2, which is an integer.
3) Therefore, 1248 is divisible by 624.
Problem 2
Can 1872 be divided by 624 without a remainder?
Yes, 1872 is divisible by 624.
Explanation
To verify the divisibility of 1872 by 624:
1) Divide 1872 by 624.
2) The quotient is 3, which is a whole number.
3) Hence, 1872 is divisible by 624.
Problem 3
Is -624 divisible by 624?
Yes, -624 is divisible by 624.
Explanation
Checking the divisibility of -624 by 624:
1) Remove the negative sign for calculation purposes.
2) Divide 624 by 624, which equals 1.
3) Since the quotient is a whole number, -624 is divisible by 624.
Problem 4
Check the divisibility of 2496 by 624.
Yes, 2496 is divisible by 624.
Explanation
To determine if 2496 is divisible by 624:
1) Divide 2496 by 624.
2) The result is exactly 4, which is an integer.
3) Therefore, 2496 is divisible by 624.
Problem 5
Can 1000 be divisible by 624?
No, 1000 is not divisible by 624.
Explanation
To check if 1000 is divisible by 624:
1) Divide 1000 by 624.
2) The quotient is not a whole number.
3) Hence, 1000 is not divisible by 624.
FAQs on Divisibility Rule of 624
1.What is the divisibility rule for 624?
2.How many numbers are there between 1 and 1000 that are divisible by 624?
3. Is 2496 divisible by 624?
4.What if I get 0 after a check?
5. Does the divisibility rule of 624 apply to all integers?
Important Glossaries for Divisibility Rule of 624
- Divisibility rule: A set of guidelines used to determine whether a number is divisible by another number without actual division.
- Prime factorization: Breaking down a number into its prime factors. For example, 624 = 8 × 3 × 26.
- Divisibility by 8: A number is divisible by 8 if its last three digits form a number divisible by 8.
- Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- Verification: The process of confirming accuracy, particularly by using division to ensure a number is divisible by another.
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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.
