Question

How many multiple of 6 lies between 0 and 250?

Answer 1

Hint: Here, we need to find the number of multiples of 6 between 0 and 250. We can find by using the formula, Number of multiples of 6 $ = \dfrac{{b - a}}{6}$. Simply put the values of $a$ and $b$ in the formula using the given range and simplify the answer to the whole number.

Formula Used:
Here, we will be using the formula, Number of multiples of 6 $ = \dfrac{{b - a}}{6}$ where $b$ is the last number and $a$ is the first number of a given range.

Complete step-by-step answer:
Here we will be using the formula,Number of multiples of 6 $ = \dfrac{{b - a}}{6}$.
In this formula $b$ is the last number and $a$ is the first number of the given range that is 0 to 250.
Thus, the last number from the given range is 250 and the first number from the range is 0.
We will substitute 0 in the place of $a$ and 250 in the place of $b$ in the formula, to get the number of multiple of 6,
Number of multiple of 6 $ = \dfrac{{250 - 0}}{6}$
Now simplify the right side to get the number of multiple of 6 as,
Number of multiple of 6 $ = \dfrac{{250}}{6} = 41.\bar 6$
Now we will round off the answer $41.\bar 6$ to get the answer in whole number,
Number of multiple of 6 $ = 41.\bar 6 \approx 42$
Therefore, the number of multiples of 6 between 0 and 250 are 42.

Note: We can also solve this question by first finding all the multiples of 6 by multiplying whole numbers with 6. First take whole number 0, the multiple of 6 for 0 will be $0 \times 6 = 0$, next take 1, the multiple of 6 for 1 will be $1 \times 6 = 6$, next take 2, the multiple will be $2 \times 6 = 12$and continuing the pattern, we will reach the last multiple of 6 within range 250 that is for whole number 41 the multiple is $41 \times 6 = 246$. Then counting them will give answer 42 as 0 is included in this count.