Question

Two numbers A and B are given by $A=2\times 11$ and $B=2\times 3\times 5\times 13$.

Represent $A\times B$ as a product of its primes.

• A. $A\times B=10\times 11\times 13\times 6$
• B. $A\times B=2\times 5\times 11\times 3\times 13$
• C. $A\times B=1\times 8580$
• D. $A\times B=2\times 2\times 3\times 5\times 11\times 13$

Answer 1

The correct option is D

$A\times B=2\times 2\times 3\times 5\times 11\times 13$

Given that

$A=2\times 11$

$B=2\times 3\times 5\times 13$.

The product of the above prime factors will provide the prime factors of $A\times B$

Therefore,

$A\times B=2\times 2\times 3\times 5\times 11\times 13$