How Many Multiples Of 3 Between 100 And 300?
How Many Multiples of 3 Between 100 and 300?
Finding out how many multiples of a certain number exist between two numbers can often seem like a tricky task. But don’t worry, understanding how to calculate it is easier than you think.
What is a Multiple?
A multiple is a number that can be divided into a given number a certain amount of times without leaving a remainder. For example, 3 is a multiple of 2, as 2 can be divided into 3 twice — 2 x 1 = 2 and 2 x 2 = 4 — without leaving a remainder.
How To Find The Multiples of 3 Between 100 and 300
To find out how many multiples of 3 there are between 100 and 300, we need to know the lowest multiple of 3 that is also equal to or higher than 100 and the highest multiple of 3 that is equal to or lower than 300.
The Lowest Multiple of 3 That is Equal to or Higher than 100
The lowest multiple of 3 that is equal to or higher than 100 is 102. This is because 102 is the first multiple of 3 that is equal to or higher than 100. The multiples of 3 that are below 100 are 97, 94, 91, 88, 85, 82, 79, 76, 73, 70, 67, and 64.
The Highest Multiple of 3 That is Equal to or Lower Than 300
The highest multiple of 3 that is equal to or lower than 300 is 297. Again, this is because 297 is the last multiple of 3 that is equal to or lower than 300. The multiples of 3 that are higher than 300 are 303, 306, 309, 312, 315, 318, 321, 324, 327, and 330.
The Answer
Therefore, the answer to the question “How many multiples of 3 are between 100 and 300?” is 32. This is because there are 32 multiples of 3 that are equal to or higher than 102 and equal to or lower than 297.
