How many Multiples of 4 Lie Between 10 and 250?

A multiple is a product that we get when one number is multiplied by another number.

Answer: 60 multiples of 4 lie between 10 and 250.

Let's find the multiples of 4 that lie between 10 and 250.

Explanation:

Note that:

• The multiple of 4 which comes just after 10 is 12
• The multiple of 4 which comes just before 250 is 248

Therefore, all the multiples of 4 between 10 and 250 are: 12, 16, 20, 24,.........248

Now, this forms an Arithmetic Progression wherein:

First Term, a: 12 ; Common Difference, d = 4 ; Last Term, a_n = 248

We need to find the number of terms (n) in the progression which ends at 248.

Using general term formula of Arithmetic Progression:

a_n = a + (n - 1)(d)

248 = 12 + (n - 1)(4)

248 - 12 = 4 (n - 1)

236 = 4 (n - 1)

59 = n - 1

n = 60

Therefore, there are 60 terms, which means there are 60 multiples of 4 between 10 and 250.

Thus, 60 multiples of 4 lie between 10 and 250.