Question

The product $ab = 1200$, $a$ is an integer, and $b$ is an odd integer. What is the largest possible value of $b$?.

Answer 1

Largest possible value of b is:

75

Explanation:

we are given that:

ab=1200

where a is an integer and b is an odd integer.

we know that product of odd numbers is always odd.

Now, 1200= 12×100

= 2×6×10×10

=2×2×3×2×5×2×5

It cannot be factorized further

Now, considering the product of all odd numbers

=3×5×5

=75

Now, if we multiply any other remaining number from the factorization of 1200, we will get a even number

Hence, The largest possible value of b is:

75