Question

How do you write $140$ as the product of its prime factors?

Answer 1

Express the given number as a product of its prime factors

Given number: $140$.

The smallest prime number, which can be divided by $140$ to get zero as the remainder, is $2$.

$\frac{140}{2}=70$.

The smallest prime number, which can be divided by $70$ to get zero as the remainder, is $2$.

$\frac{70}{2}=35$.

The smallest prime number, which can be divided by $35$ to get zero as the remainder, is $5$.

$\frac{35}{5}=7$.

$7$ itself is a prime number.

Thus, the prime factors of $140$ are $2,2,5$ and $7$.

Hence, $140$ can be expressed as $140=2\times 2\times 5\times 7$.