The product of 4 consecutive natural numbers is 5040. Find those numbers.

Question

parthkohli · Answer

Form an equation like this. Firstly, those natural numbers would be x,x+1,x+2,x+3

$\Large \color{MidnightBlue}{\Rightarrow x(x + 1)(x + 2)(x + 3) = 5040}$

anonymous · Answer

$$5040 = 2^4\times 3^2\times 5\times 7 $$

It should be obvious that 10 is one of them, apparently $7\times 8\times 9 \times 10 =5040$

$$7,8,9,10 $$

parthkohli · Answer

But how 10?

anonymous · Answer

After you break it up into primes, there is only one 5 and the last digit is 0 hence one number could be 10,20,40, among which 10 is the only logical choice considering the other primes.

parthkohli · Answer

Ahh nice :)

anonymous · Answer

Thank you "Parth" and "Fool for Math". I appreciate your sparing time for me. 

thank you again.

parthkohli · Answer

:)