141 LearnersLast updated on May 26th, 2025
Divisibility Rule of 145
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 145.
What is the Divisibility Rule of 145?
The divisibility rule for 145 is a method by which we can find out if a number is divisible by 145 or not without using the division method. Check whether 4355 is divisible by 145 with the divisibility rule.
Step 1: Separate the last two digits of the number, here in 4355, 55 is the last two digits.
Step 2: Multiply the rest of the number by 3, i.e., 43 × 3 = 129.
Step 3: Add the result from Step 2 to the last two digits. i.e., 129 + 55 = 184.
Step 4: As it is shown that 184 is not a multiple of 145, the number is not divisible by 145. If the result from step 3 is a multiple of 145, then the number is divisible by 145.
Tips and Tricks for Divisibility Rule of 145
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 145.
- Know the multiples of 145: Memorize the multiples of 145 (145, 290, 435...etc.) to quickly check the divisibility. If the result from the addition is a multiple of 145, then the number is divisible by 145.
- Use the negative numbers: If the result we get after the addition is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 145.
For example: Check if 8705 is divisible by 145 using the divisibility test. Separate the last two digits, which are 05. Multiply the remaining digits by 3, i.e., 87 × 3 = 261. Add 05 to 261, which gives 266. 266 is not a multiple of 145, so 8705 is not divisible by 145.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 145
The divisibility rule of 145 helps us quickly check if a given number is divisible by 145, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which involve separating the last two digits, multiplying the remaining digits by 3, adding the results, and checking whether it is a multiple of 145.
Divisibility Rule of 145 Examples
Problem 1
Is the number 2900 divisible by 145?
Yes, 2900 is divisible by 145.
Explanation
To check if 2900 is divisible by 145, use the divisibility rule for 145.
1) Divide the number by 5 first, as 145 ends in 5. 2900 ÷ 5 = 580.
2) Check if 580 is divisible by 29 (since 145 = 5 × 29).
3) 580 ÷ 29 = 20, which is an integer. Therefore, 2900 is divisible by 145.
Problem 2
Can the number 725 be divided evenly by 145?
No, 725 is not divisible by 145.
Explanation
To determine if 725 is divisible by 145, apply the divisibility rule:
1) Divide 725 by 5, since the last digit is 5. 725 ÷ 5 = 145.
2) Check if 145 is divisible by 29. 145 ÷ 29 = 5, which is an integer.
3) However, the initial division by 5 should also be checked for further divisibility by 29, and the result of 145 is already a multiple of 145 without further division required. In this context, it's confirmatory that 725 is exactly divisible by 145 when broken down correctly.
Problem 3
Is -1015 divisible by 145?
No, -1015 is not divisible by 145.
Explanation
To check the divisibility of -1015:
1) Remove the negative sign and divide 1015 by 5. 1015 ÷ 5 = 203.
2) Check if 203 is divisible by 29. 203 ÷ 29 ≈ 7, which is not an integer.
3) Therefore, 1015 is not divisible by 145.
Problem 4
Verify if 4350 is divisible by 145.
Yes, 4350 is divisible by 145.
Explanation
To verify divisibility:
1) Divide 4350 by 5. 4350 ÷ 5 = 870.
2) Check if 870 is divisible by 29. 870 ÷ 29 = 30, which is an integer.
3) Since both checks are satisfied, 4350 is divisible by 145.
Problem 5
Determine if 5800 is divisible by 145.
Yes, 5800 is divisible by 145.
Explanation
To determine divisibility:
1) Divide 5800 by 5. 5800 ÷ 5 = 1160.
2) Check if 1160 is divisible by 29. 1160 ÷ 29 = 40, which is an integer.
3) Therefore, 5800 is divisible by 145.
FAQs on Divisibility Rule of 145
1.What is the divisibility rule for 145?
2.How many numbers are there between 1 and 1000 that are divisible by 145?
3.Is 290 divisible by 145?
4.What if I get 0 after addition?
5.Does the divisibility rule of 145 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 145?
7.What are some fun ways kids in United States can practice Divisibility Rule of 145 with numbers?
8.What role do numbers and Divisibility Rule of 145 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 145 skills?
Important Glossaries for Divisibility Rule of 145
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 145 if it meets the conditions specified for the rule.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 145 are 145, 290, 435, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is a process of finding out the sum of two numbers by combining them.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from 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.
