2026 · Q21
27^27 - 9^40 - 3^79 is divisible by how many natural numbers less than 10?
Elementary MathematicsNumber System
- A1
- B2
- C3
- DMore than 3
Explanation
Factorising, 27^27−9^40−3^79=3^81−3^80−3^79=3^79(9−3−1)=5·3^79. The natural numbers below 10 dividing this are 1, 3, 5 and 9 — four of them, i.e. more than 3, option D.