Question

How many multiples of 7 are there between 1 to 1000?

• A. $141$
• B. $100$
• C. $142$

Answer 1

The correct option is C $142$

Least number multiple of 7 is 7.

First, we will divide 1000 by 7 to find the remainder,
$\frac{1000}{7}=142\times 7+6$

Now, we need to subtract 6 from 1000 to get the greatest multiple of 7 between 1 and 1000.

$\Rightarrow 1000-6=994$

$\because 994=7\times 142\&7=7\times 1$

Hence, total 142 multiples of 7 are there between 1 and 1000.