Factoring Calculator: If you ever need assistance with finding factors of a given number take the help of the online tool provided. Just enter the input integer and you will get the factors in the blink of an eye. Scroll down to find the detailed procedure on how to evaluate Factoring using different methods. To help you out, we even jotted down the solved examples showing step by step.
How to Factor Numbers?
Use the simple procedure on how to factor numbers using the trial division method. Following it you will arrive at the solution easily. They are along the lines
- Find the square root of an integer number n and round it to the closest number. Let the number be s
- Start with 1 and find the corresponding factor pair n ÷ 1 = n. Thus 1, n are factor pairs as the division results in a whole number leaving a remainder zero.
- Continue the process with number 2 and test all the integers (n ÷ 2, n ÷ 3, n ÷ 4… n ÷ s) through the square root rounded to s. List out the factor pairs wherein the remainder is zero.
- By the time you have reached n ÷ s and noted all the factor pairs, you are done with the successful factoring of n.
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Example
What are the Factors of 14
Solution:
The Square root of 14 is 3.7416 and rounding it we get 4
Testing the integer value 1 through 4 for the division into 14 and checking for the factors that leave a remainder zero.
The numbers that leave a remainder zero when dividing the number 14 are 1, 2, 7, 14
Factor Pairs are (1,14)(2,7)(7,2)(14,1)
Take the help of Factoring Calculator to evaluate the Factors of Number 25 i.e. 1, 5, 25 the integers that divide the number 25 leaving a remainder zero.
Factor Tree of 25 to evaluate the factors
- Split the number 25 into two factors that can result in the same product after multiplication. That means 5*5 = 25
- 5 is a Prime number and the procedure ends here as the numbers can’t be expressed as a product anymore. Factor Tree of 25 looks as under
Here are some samples of factoring calculations.
- Factors of 128
- Factors of 160
- Factors of 162
- Factors of 176
- Factors of 180
- Factors of 189
- Factors of 192
- Factors of 196
How to find Factors of 25?
To find factors of 25 check for the numbers that divide 25 exactly and leaves a remainder zero. Check for all the integers that divide 25 by all the numbers up to 25. Make a note of numbers that results in the remainder zero.
1, 5, 25 are factors that divide 25 leaving a remainder zero.
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