Topic: Divisibility Rules | Languages: English & Hindi | For: Students & Learners
Understanding divisibility rules makes mental math easier and faster. Today, we will learn the rules for 7 and 13 using step-by-step breakdowns and examples. See More Math Tricks to boost your skills!
Divisibility Rule of 7 | 7 से भाज्यता का नियम
| Step | Explanation | Example |
|---|---|---|
| 1 | Separate last 3 digits and subtract from remaining part | 732736 → 732 - 736 = -4 |
| 2 | Repeat process with result | 736 - 626 = 110 → 110 - 210 = -100 |
| 3 | If result is divisible by 7, the original number is too | 210 is divisible by 7 → so is 732736 |
Key Patterns | प्रमुख पैटर्न
- Special Case: Any 6-digit number where the first 3 digits repeat (e.g., 494494) is divisible by 7.
- Quick Tip: If subtraction leads to zero, the number is divisible by 7.
Note: Not all numbers will result in clean subtraction. Always check the final number's divisibility.
Divisibility Rule of 13 | 13 से भाज्यता का नियम
- Step 1: Separate last 3 digits and subtract from rest
- Step 2: Repeat until result is small and check divisibility by 13
- Step 3: If the final result is divisible by 13, so is the original number
Fun Fact: 6-digit numbers with same first and last 3 digits (e.g., 321321) are divisible by 7, 11, and 13. Read More
Examples | उदाहरण
Steps Summary | चरण सारांश
- Split last 3 digits
- Subtract from remaining number
- Repeat until number is simple
- Check divisibility by 7 or 13
Want more tricks like this? Visit our Math Blog | New tutorials weekly!
अक्सर पूछे जाने वाले प्रश्न
Q1. क्या सभी 6-digit रिपीटेड नंबर 7 और 13 से विभाज्य होते हैं?
A: हाँ, जैसे 494494, 321321 – ये 7, 11 और 13 सभी से विभाज्य होते हैं।
Q2. अंतिम चरण में अगर संख्या छोटी हो लेकिन 13 से विभाज्य नहीं है?
A: तो मूल संख्या भी 13 से विभाज्य नहीं है।
