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Statement 5
Last updated at January 7, 2026 by Teachoo
Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 5 Class 8 - Number Play (Ganita Prakash)
- Sum of Consecutive Numbers
- Parity of Arithmetic & Algebraic Expressions
- Pairs to Make Fours
- Factors and Multiples
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Always, Sometimes, or Never
- What Remains?
- Figure it out - Page 122, 123
- Divisibility Rules - 2, 5, 10 and 3
- Shortcut for Divisibility by 9
- Figure it out - Page 126
- Shortcut for Divisibility by 11
- Divisibility Shortcuts for Other Numbers
- Digital Roots
- Figure it out - Page 131
- Digits in Disguise
- Figure it out - Page 132, 133, 134
Transcript
Statement 5 If a number is divisible by 7, then it is also divisible by any multiple of 7.Since the number is divisible by 7, it must be a Multiple of 7 So, the number is Number = 7k where k is an integer Now, we have to check if it is divisible by all Multiples of 7 Multiples of 7 = 7, 14, 21, 28, 35, 42, …. Let’s take an Example For Number = 14 Now, 14 is divisible by 7 And, 14 is divisible by 14 But, 14 is not divisible by 21 14 is not divisible by 28 14 is not divisible by 35 For Number = 63 Now, 63 is divisible by 7 But, 63 is not divisible by 14 63 is divisible by 21 63 is not divisible by 28 63 is not divisible by 35 Hence, this Statement is Sometimes True Let’s try to visualize it Q4. If a number is divisible by , then it is also divisible by all factors of . ALWAYS TRUE The Number 12 Check if factors fit perfectly: Factor 2 Factor 3 Factor 4 Factor 6 Explanation: Think of 12 as a "container". If the container holds 12 items, and you can pack 12 items into groups of 3, 4, or 6, then any bigger box made of "12-containers" can also be unpacked into those smaller groups.
