199 LearnersLast updated on May 26th, 2025
Divisibility Rule of 175
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 175.
What is the Divisibility Rule of 175?
The divisibility rule for 175 is a method by which we can find out if a number is divisible by 175 or not without using the division method. Check whether 19250 is divisible by 175 with the divisibility rule.
Step 1: Check if the number is divisible by both 25 and 7. A number is divisible by 175 if it is divisible by both 25 and 7.
Step 2: To check divisibility by 25, ensure the last two digits of the number form a number that is divisible by 25. Here, the last two digits are 50, which is divisible by 25.
Step 3: To check divisibility by 7, follow the divisibility rule for 7: Multiply the last digit by 2, subtract from the rest of the number, and check if the result is divisible by 7. For 1925 (excluding the last zero to test just 1925), multiply 5 by 2 to get 10, subtract from 192 to get 182. 182 is divisible by 7.
Since 19250 passes both checks, it is divisible by 175.
Tips and Tricks for Divisibility Rule of 175
Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 175.
- Know the multiples of 175: Memorize multiples of 175 (175, 350, 525, etc.) to quickly check divisibility. If the final number is a multiple of 175, then the original number is divisible by 175.
- Check divisibility by 25: The last two digits of the number should form a number that is divisible by 25.
- Repeat the process for large numbers: For larger numbers, check divisibility by 25 and 7 separately and then combine your results.
- Use the division method to verify: Use the division method as a way to verify and crosscheck your results. This helps to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 175
The divisibility rule of 175 helps us to quickly check if a given number is divisible by 175, 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 divisibility by both 25 and 7.
Ensure to check divisibility by both numbers as 175 is a product of 25 and 7.
Mistake 2
Incorrectly checking the last two digits for divisibility by 25.
The last two digits should be 00, 25, 50, or 75 for a number to be divisible by 25.
Mistake 3
Confusing the divisibility steps.
Practice regularly to remember the correct steps for checking divisibility by 25 and 7.
Mistake 4
Ignoring larger numbers without breaking them down.
For large numbers, systematically check divisibility by 25 and 7 and combine results.
Mistake 5
Ignoring one of the criteria.
Ensure all conditions of the rule are met: even numbers, a digit sum divisible by 3, and the correct ending digit.
Divisibility Rule of 175 Examples
Problem 1
Is 875 divisible by 175?
Yes, 875 is divisible by 175.
Explanation
To determine if 875 is divisible by 175, follow these steps:
1) Divide the number by 5, since 175 ends with a 5. 875 ÷ 5 = 175.
2) Check if 175 (the result) is a multiple of 35 (since 175 = 5 × 35).
3) 175 ÷ 35 = 5, which is an integer. Thus, 875 is divisible by 175.
Problem 2
Check the divisibility rule of 175 for 1575.
Yes, 1575 is divisible by 175.
Explanation
To check if 1575 is divisible by 175, follow these steps:
1) Divide the number by 5. 1575 ÷ 5 = 315.
2) Check if 315 (the result) is a multiple of 35.
3) 315 ÷ 35 = 9, which is an integer. Thus, 1575 is divisible by 175.
Problem 3
Is 700 divisible by 175?
Yes, 700 is divisible by 175.
Explanation
To check if 700 is divisible by 175, follow these steps:
1) Divide the number by 5. 700 ÷ 5 = 140.
2) Check if 140 (the result) is a multiple of 35.
3) 140 ÷ 35 = 4, which is an integer. Thus, 700 is divisible by 175.
Problem 4
Can 525 be divisible by 175 following the divisibility rule?
Yes, 525 is divisible by 175.
Explanation
To check if 525 is divisible by 175, follow these steps:
1) Divide the number by 5. 525 ÷ 5 = 105.
2) Check if 105 (the result) is a multiple of 35.
3) 105 ÷ 35 = 3, which is an integer. Thus, 525 is divisible by 175.
Problem 5
Check the divisibility rule of 175 for 1225.
Yes, 1225 is divisible by 175.
Explanation
To check the divisibility rule of 175 for 1225, follow these steps:
1) Divide the number by 5. 1225 ÷ 5 = 245.
2) Check if 245 (the result) is a multiple of 35.
3) 245 ÷ 35 = 7, which is an integer. Thus, 1225 is divisible by 175.
FAQs on Divisibility Rule of 175
1.What is the divisibility rule for 175?
2.How many numbers between 1 and 1000 are divisible by 175?
3.Is 350 divisible by 175?
4.What if a number is divisible by 25 but not by 7?
5.Does the divisibility rule of 175 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 175?
7.What are some fun ways kids in India can practice Divisibility Rule of 175 with numbers?
8.What role do numbers and Divisibility Rule of 175 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 175 skills?
Important Glossaries for Divisibility Rule of 175
- Divisibility rule: A set of rules used to determine if a number is divisible by another without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 175 are 175, 350, 525, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one from the other.
- Divisible: A number is divisible by another if it can be divided without leaving a remainder.
Explore More numbers
About BrightChamps in India
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.
