Factor Tree Calculator

In Mathematics, the factors of any number are described as the numbers that can be multiplied together to avail the original number. To find the factors one of the best ways is called Factor Tree. It is easy to form and understand when finding the factors of a given number. In factor tree, the numbers attained at the end are the prime factors of the given number.

By following the below points, you can easily find the factor tree of a given number and also you can apply this trick on the non-prime numbers.

• First, check the given number is prime or not.
• If not, then divide it by 2 and find the factors.
• Have a glance at the two factors and find if they are prime or not. If prime then leave it as a first factor of the given number.
• Now consider the next number and split it two factors by dividing with 2.
• Repeat the same process till you find all prime factors for the given number.
• Finally, the structure is known as a factor tree of a given number.

Check out the below-given solved example for a Factor Tree of a number and understand the concept behind the drawing of the Factor tree for a given integer.

Example:

Find the Factor Tree of 76 and Calculate the factors with the show work?

Solution:

Given number is 76 and now find the prime factors by using the factor tree

Factor Tree of 76 explanation steps:

• First, check whether the 76 is prime or not if nonprime then split the number into two factors that can give the same answer after multiplication. That means, 76 = 2 * 38
• 2 is the prime number, so split the 38 number further and find the two prime factors ie., 38 = 2*19.
• 2 is the prime and 19 is also a prime factor. So, the procedure ends at this stage the factor tree of 76 looks like this:

Thus, the Factor Tree of 76 can be expressed in the prime factors like 2 x 2 x 19.

Also, you can find factors for the given numbers in many other ways by visiting our maths solver website i.e., onlinecalculator.guru & discover various other math factoring calculators for numbers, polynomials, etc with ease.

1. What is Meant by Factor Tree?

A factor tree is a method to compute the factors of a number by breaking down the numbers into its prime factors. Also, Factor Tree is defined as the multiplies of prime numbers.

2. How to find the factor tree of a number using a calculator?

You can easily determine the Factore tree of a given number by using our Factor Tree Calculator. It needs an input number to compute the factor tree and find out the prime factors of a number. So enter the input number in the field and tap on the calculate button.

3. Find the Factor Tree of 256?

First, Split the number 256 into two factors and then look for prime and nonprime factors. If any nonprime factors are visible then repeat the process of splitting into factors and make all prime factors. Then, completes the factor tree of a number 256 and express all the multiples of prime factors for 256 ie., 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.