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Divisibility Tests

Class 6 Maths · Chapter 5: Prime Time · NCERT Ganita Prakash section 5.5

Seekho

Kya bina bhaag diye bata sakte hain ki bada number 10, 5 ya 2 se bhaag hota hai? Haan, bas aakhri digit dekho. 10 se: 0 par khatam. 5 se: 0 ya 5 par. 2 se: 0, 2, 4, 6 ya 8 par.

Ye kyon chalta hai? Har number kuch dahaiyon aur aakhri digit se bana hai, aur har dahaai 10, 5 aur 2 se bhaag hoti hai. Isliye sirf aakhri digit faisla karta hai!

4,736 = 473 × 10 + 6

4 se bhaag: 100, 4 se bhaag hota hai, isliye sirf aakhri do digits maayne rakhte hain. 5,316 → 16 ÷ 4 = 4, to 5,316, 4 se bhaag hota hai. 8 se bhaag: 1,000, 8 se bhaag hota hai, isliye aakhri teen digits dekho. 27,104 → 104 ÷ 8 = 13 ✓.

5,316 → 16 ÷ 4 = 4 · 27,104 → 104 ÷ 8 = 13

Explore: digit wheels ghumaakar aise numbers banao jo tests paas karein.

  1. Aisa 3-digit number banao jo 5 se bhaag ho par 10 se nahi.
  2. Aisa 3-digit number banao jo 4 se bhaag ho par 8 se nahi.
  3. Aisa 3-digit number banao jo 8 se bhaag ho.

Yaad rakho

  • 10: aakhri digit 0. 5: aakhri digit 0 ya 5. 2: aakhri digit even.
  • 4: aakhri do digits 4 se bhaag hon. 8: aakhri teen digits 8 se bhaag hon.

Quick check

Kaunsa number 4 se bhaag hota hai?

  1. 3,418
  2. 7,236
  3. 5,142
  4. 9,330
Answer

7,236. Aakhri do digits 36, aur 36 ÷ 4 = 9. (18, 42 aur 30, 4 se bhaag nahi hote.)

Socho

Agar number 8 se bhaag ho, to kya 4 se bhi hoga? Agar 4 se ho, to kya 8 se bhi hoga?

Ek answer

8 → 4: haan, kyonki 8 = 2 × 4, to 8 ka multiple 4 ka bhi multiple hai. 4 → 8: nahi; 12, 4 se bhaag hota hai par 8 se nahi.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.