Question

If a divides c and that b divides c. Prove ab divides c

Answer 1

If a divides c,

then 'a' is a factor of 'c'.

Also,

If 'b' divides c,

then 'b' is also a factor of 'c'

therefore,

'a' and 'b' are factors of 'c'

Hence, a and b divides 'c'

so, c = a*b

and ab will also divide c.

Hence, proved.