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141 LearnersLast updated on February 17th, 2025
Divisibility Rule of 745
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 745.
What is the Divisibility Rule of 745?
The divisibility rule for 745 is a method by which we can determine if a number is divisible by 745 without using the division method.
Check whether 2235 is divisible by 745 using the divisibility rule.
Step 1: Since 745 is a composite number, break it down into its prime factors: 5, 149.
Step 2: Check divisibility by 5: The last digit of 2235 is 5, which is divisible by 5.
Step 3: Check divisibility by 149: We perform division or use any known rules for 149.
Since 2235 is not divisible by 149, it is not divisible by 745.
Tips and Tricks for Divisibility Rule of 745
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 745.
Know the multiples of 5 and 149:
Memorize the multiples of 5 and 149 to quickly check divisibility. If a number is not divisible by these individual factors, it is not divisible by 745.
Repeat the process for large numbers:
For larger numbers, repeat the process of checking divisibility by 5 and 149 individually until you reach a conclusion.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 745
The divisibility rule of 745 helps us quickly check if a given number is divisible by 745, 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 breaking down 745 into its prime factors.
Always remember to check divisibility by 5 and 149.
Divisibility Rule of 745 Examples
Problem 1
Is 2980 divisible by 745?
No, 2980 is not divisible by 745.
Explanation
To check if 2980 is divisible by 745, follow these steps:
1) Multiply the last digit by 5, 0 × 5 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 298 - 0 = 298.
3) Check if 298 is a multiple of 745. No, 298 is not a multiple of 745.
Problem 2
Check the divisibility rule of 745 for 4470.
No, 4470 is not divisible by 745.
Explanation
To check this, follow these steps:
1) Multiply the last digit by 5, 0 × 5 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 447 - 0 = 447.
3) Check if 447 is a multiple of 745. No, 447 is not a multiple of 745.
Problem 3
Is 0 divisible by 745?
Yes, 0 is divisible by 745.
Explanation
Any number is divisible by 745 if it results in 0.
1) The last digit multiplied by 5 is 0 × 5 = 0.
2) The remaining number is 0, so 0 - 0 = 0.
3) 0 is considered divisible by any non-zero number.
Problem 4
Can 7450 be divisible by 745 following the divisibility rule?
Yes, 7450 is divisible by 745.
Explanation
Follow these steps to check:
1) Multiply the last digit by 5, 0 × 5 = 0.
2) Subtract the result from the remaining digits, 745 - 0 = 745.
3) Check if 745 is a multiple of 745. Yes, 745 is a multiple of 745 (745 × 1 = 745).
Problem 5
Check the divisibility rule of 745 for 1490.
No, 1490 is not divisible by 745.
Explanation
To evaluate this, follow these steps:
1) Multiply the last digit by 5, 0 × 5 = 0.
2) Subtract the result from the remaining digits, 149 - 0 = 149.
3) Check if 149 is a multiple of 745. No, 149 is not a multiple of 745.
FAQs on Divisibility Rule of 745
1.What is the divisibility rule for 745?
2.How many numbers between 1 and 1000 are divisible by 745?
3.Is 1490 divisible by 745?
4.What if I get 0 after subtraction (when checking divisibility by factors)?
5.Does the divisibility rule of 745 apply to all integers?
Important Glossaries for Divisibility Rule of 745
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number.
- Prime factors: The prime numbers that multiply together to form a given number.
- Multiples: The results obtained by multiplying a number by an integer.
- Composite number: A number that can be divided evenly by numbers other than 1 and itself.
- Verification: The process of confirming the correctness of a calculation or assumption.
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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.
