The number 36 is a composite number, meaning it is composed of smaller numbers that can be multiplied to make 36. It is an even number and can be divided evenly by two numbers, 1, 2, 3, 4, 6, 9, 12, 18 and 36. Knowing what the factors of 36 are can be helpful in a variety of situations.
Finding the Factors of 36
To find the factors of 36, a person can use the greatest common factor (GCF) method. The GCF method involves taking two or more numbers and dividing them until there is no remainder. To find the factors of 36, start by taking the two largest factors, 18 and 36. Divide each number by the other until there is no remainder. In this case, 18 divided by 36 is equal to 0 with a remainder of 18. This indicates that 18 is a factor of 36.
Next, take the two smallest factors, 1 and 36. Divide each number by the other until there is no remainder. In this case, 1 divided by 36 is equal to 0 with a remainder of 1. This indicates that 1 is a factor of 36.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Uses for Factors of 36
Knowing what the factors of 36 are can be helpful for a variety of tasks. For example, if a person needs to divide 36 by a certain number, they can use the factors of 36 to find the answer. For instance, if a person needs to divide 36 by 4, they can use the GCF method of dividing 36 by 4 to get the answer. In this case, the answer is 9.
The factors of 36 can also be used to solve other mathematical problems. For instance, if a person needs to find the square root of 36, they can use the factors of 36 to find the answer. In this case, the square root of 36 is 6.
The factors of 36 can also be used to find the lowest common multiple (LCM) of two or more numbers. For example, if a person wants to find the LCM of 8 and 36, they can use the factors of 36 to find the answer. In this case, the LCM is 72.
Example Problems Using Factors of 36
Here are some example problems that can be solved using the factors of 36.
Example 1:
What is 36 divided by 4?
Answer: The answer is 9.
Example 2:
What is the square root of 36?
Answer: The answer is 6.
Example 3:
What is the LCM of 8 and 36?
Answer: The answer is 72.
Frequently Asked Questions
What is the definition of a factor?
A factor is a number that can be multiplied by another number to produce a given product.
What is the greatest common factor of 36?
The greatest common factor of 36 is 18.
How do you find the factors of 36?
To find the factors of 36, you can use the greatest common factor (GCF) method. This involves taking two or more numbers and dividing them until there is no remainder.
What are the uses of factors of 36?
Knowing the factors of 36 can be useful for a variety of tasks. For example, if a person needs to divide 36 by a certain number, they can use the factors of 36 to find the answer. Additionally, the factors of 36 can be used to solve other mathematical problems such as finding the square root of 36 or the lowest common multiple of two numbers.
What is the least common multiple of 8 and 36?
The least common multiple of 8 and 36 is 72.
What is the GCF of 36 and 18?
The greatest common factor of 36 and 18 is 18.
What is the LCM of 1 and 36?
The least common multiple of 1 and 36 is 36.
What is the GCF of 4 and 36?
The greatest common factor of 4 and 36 is 4.
What is 36 divided by 3?
36 divided by 3 is 12.
What is 36 divided by 12?
36 divided by 12 is 3.
What is the square root of 36?
The square root of 36 is 6.