Question

$if \: 3603600 \: is \: expressed \: as \: 2 ^{a} \times 3 ^{b} \times 5 ^{c} \times 7 ^{d} \times 11 ^{e} \times 13 ^{f} where \: a \: b \: c \: d \: e \: f \: are \: positive \: integers \: then \: the \: value \: of \: (a + b + c) - (d + e + f) \: is \: ........$

Answer 1

First do prime factorisation of 3603600

you will get

2×2×2×2×3×3×5×5×7×11×13

So, 2^4× 3^2 × 5^2 × 7^1 × 11^1 × 13^1

Now on adding powers

(a+b+c) - (d+e+f)

(4+2+2) - (1+1+1)

8 - 3

5 Answer