Question

find the prime factorisation of the following by factor tree method :
(a) 24​

Answer 1

Answer:ANSWER

Prime factorisation of 42=2×3×7

72=2×2×2×3×3=2

3

×3

2

∴HCF(42,72)=2×3=6

LCM(42,72)=2

3

×3

2

×7

1

=504

Observe that 42×72=3,024

HCF(42,72)×LCM(42,72)=6×504=3,024

∴42×72=HCF(42,72)×LCM(42,72)

∴ For any two positive integers a and b,

HCF(a,b)×LCM(a,b)=a×b

This relation can be used to find the LCM of two positive integers, if their HCF has already been found.

Answered By Sk ....♥

Answer 2

Answer

here's the answer

24

24 2 × 12

24 2 × 12 2 × 6

24 2 × 12 2 × 6 2 × 3