Yes, 72 is divisible by 9. To determine if a number is divisible by 9, you can add up the digits and if the sum is divisible by 9, then the original number is also divisible by 9. In this case, 7+2=9, which is divisible by 9, so we can conclude that 72 is also divisible by 9. Another method to check if a number is divisible by 9 is to divide the number by 9, and if the answer is a whole number with no remainder, then the original number is divisible by 9. When we divide 72 by 9, we get 8 with no remainder, which means that 72 is divisible by 9. Therefore, we can conclude that 72 is indeed divisible by 9.

## What’s 72 divisible by?

To determine whether 72 is divisible by a certain number, we need to see if 72 can be evenly divided by that number without leaving any remainder. In other words, if we divide 72 by a certain number and the result is a whole number with no decimals, then 72 is divisible by that number.

Here are the factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

This means that 72 is divisible by each of these numbers without leaving a remainder. For example, 72 ÷ 2 is 36, which is a whole number with no decimals. Therefore, 72 is divisible by 2.

Similarly, 72 ÷ 8 is 9, which is also a whole number with no decimals. Therefore, 72 is divisible by 8.

72 is divisible by all of its factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

## What is the divisibility rule for 72?

The divisibility rule for 72 is a bit complex compared to other commonly known divisibility rules like the rule for 2, 3, 4, 5, 6, 9, and 10. In general, the rule for divisibility by any number specifies a quick and easy method to determine whether or not a number is divisible by that particular number without actually dividing the number itself.

So, let us understand how we can check if a number is divisible by 72. To use the divisibility rule for 72, we need to consider the factors of 72, which are 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36.

To apply the rule, we have to divide the given number by all these factors one by one, starting from the highest and moving down to the lowest factor. If the number is divisible by each of these factors, then the number is divisible by 72.

For instance, suppose that we want to check whether the number 17,280 is divisible by 72 or not. We will start by dividing 17,280 by 36 (which is the highest factor of 72), and if the result is a whole number, then we will continue with the next factor, which is 24 and so on.

17,280 ÷ 36 = 480 (which is a whole number)

Since the result is a whole number, we move to the next factor which is 24 and repeat the division process as follows:

480 ÷ 24 = 20 (which is also a whole number)

Therefore, we can conclude that 17,280 is divisible by 72.

In essence, the rule for 72 states that if a number is divisible by all the factors of 72 (2, 3, 4, 6, 8, 9, 12, 18, 24, and 36), then it is divisible by 72. However, this may not be a particularly easy rule to remember, and in practice, it may be quicker and more efficient simply to divide the number by 72 to check its divisibility.

## What are the factors of 72?

The number 72 is a composite number, which means it is not a prime number and possesses various factors. To find the factors of 72, we need to divide it by all the possible integers starting from 1 to 72 itself.

Starting from 1, the quotient of 72 divided by 1 is 72. Similarly, dividing 72 by 2, we get a quotient of 36. Continuing this process, we can find the following pairs of factors of 72: (1, 72), (2, 36), (3, 24), (4,18), (6,12), and (8,9).

Therefore, the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. These factors can be multiplied in various combinations to give 72 itself, for example, 8 x 9 or 3 x 24. Furthermore, these factors can also be used to simplify fractions that involve 72 as the numerator or denominator.

The prime factors of 72 are 2, 3, and 6, and their combinations result in the various factors of 72. Knowing the factors of a composite number can be useful in many mathematical applications, including finding the greatest common factor or lowest common multiple of two or more numbers.