What numbers are divided by 15?

Hint: In this question, we need to select from the options that which of the number(s) is/are divisible by 15. For this, we will use the concept of the divisibility rule of 15 and check each of the given options one by one.

Complete step-by-step answer:
According to the divisibility rule of 15, a number is divisible by 15 if the number is divisible by 3 and 5 both. So, we need to check the divisibility of the numbers by 5 and 3.
According to the divisibility rule of 5, a number is divisible by 5 if the number is ending with either 0 or 5.
According to the divisibility rule of 3, a number is divisible by 3 if the summation of the digit of the number is divisible by 3.
Now, we need to check the options one by one for the divisibility by 3 and 5.
A.30560
As the number is ending with 0 so, we can say that the number is divisible by 5.
Summation of the digits of the number 30560 is, $ 3+0+5+6+0=14 $ and 14 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
B.29515
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 29515 is, $ 2+9+5+1+5=22 $ and 22 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
C.23755
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 23755 is, $ 2+3+7+5+5=22 $ and 22 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
D.17325
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 17325 is, $ 1+7+3+2+5=18 $ and 18 is divisible by 3 so, the given number is also divisible by 3 and consequently 17325 is divisible by 15 also.
Hence, 17325 is divisible by 15.
Option D is correct.

So, the correct answer is “Option D”.

Note: Divisibility rule of the numbers plays an important role to decide whether the given number is divisible or not. However, this type of questions can also be solved by using the long division method, if the remainder on dividing the terms is zero then, we can say that the number is divible.



What numbers are divided by 15?

What is 15 divisible by? In others words, what can you divide 15 with and get a whole number?

To be more specific, by which integers can you divide 15 and get another integer?

Below, we list what numbers can be divided by 15 and what the answer will be for each number.

15 / 1 = 15
15 / 3 = 5
15 / 5 = 3
15 / 15 = 1


Divisible By?
Enter another number below to see what numbers it can be divided by.

What divided by what equals 15? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 15?

In mathematical terms, what can the X and Y be in this equation below for it to be true?

X / Y = 15

The answer is infinite. However, below we have created a list of what divided by what equals 15.

If you study the list, you will see a trend and learn how you can easily calculate a similar problem in the future:

When you ask if 15 is divisible by anything, we assume that you want to know if there are whole numbers that you can divide into 15 that will result in another whole number.

To clarify, is 15 divisible by a whole number that will result in another whole number?

The answer to your question is yes.

We have calculated all the numbers that 15 is evenly divisible by.

The numbers that 15 is divisible by are 1, 3, 5, and 15.


You may also be interested to know that all the numbers that 15 is divisible by are also known as the factors of 15. Not only that, but all the numbers that are divisible by 15 are the divisors of 15.

Divisible By Anything?
Please enter another number below to see if it is divisible by anything:

Is 16 Divisible by anything?
Now you know the answer to "What is 15 divisible by?" Go here for the next number on our list that we solved.

Note that when you get a question like "Is 15 divisible by anything?", the answer will always be yes. All numbers can be evenly divided by something.

Here we will explain what "numbers divisible by 15" means, and then give you a list of numbers divisible by 15.

Numbers divided by 15 are all the numbers that when divided by 15 equal a whole number (integer). In other words, we are looking for all the possible numbers in this equation:

Number / 15 = Integer


As you have probably figured out by now, the list of numbers divisible by 15 is infinite. Here is the beginning list of numbers divisible by 15, starting with the lowest number which is 15 itself:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, etc.

As you can see from the list, the numbers are intervals of 15. You can keep adding to the list and make it as long as you want by simply adding 15 to the previous number.

Can 15 be divided evenly?

Note: "evenly" in this case means "fairly" or "exactly", it has nothing to do with even numbers, for example 15 can be evenly divided by 3 (5 times) and they are all odd numbers.

Is 5 is divisible by 15?

There is no one single rule for divisibility by 15, but every number that is divisible by 15 must be divisible by the factors of 15, namely 3 and 5.

Is 15 is divisible by 4?

Answer and Explanation: 15 divided by 4 is 3 ¾ or 3.75. Consider the math: 4 goes into 15 three times with remainder 3.

Is 15 is divisible by 2?

15 is not an even number, thus 15 is not divisible by 2. Last Digit Method: If the last digit in 15 is 0, 2, 4, 6, or 8, then 15 is divisible by 2. The last digit in 15 is 5, thus 15 is not divisible by 2.