Factor Calculator – Find Factors of Numbers Online

Intro

The Factor Calculator online is a simple yet powerful tool that helps you find all the factors of any given number instantly. Factors are numbers that divide a given number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

Finding factors manually can be time-consuming, especially for large numbers. That’s where the Factor Calculator online becomes extremely useful. Whether you’re a student learning math, a teacher preparing assignments, or someone working with numbers in finance or computer science, this tool makes factorization fast and accurate.

Formula / Working

To calculate factors of a number nnn:

Start from 1 up to n\sqrt{n}n.
If nmod i=0n \mod i = 0nmodi=0, then both iii and ni\frac{n}{i}in are factors.
Collect all such values to get the complete factor list.

Mathematical Representation:
If n÷i=0n \div i = 0n÷i=0, then iandniare factors of ni \quad \text{and} \quad \frac{n}{i} \quad \text{are factors of } niandinare factors of n

Example for n=28n = 28n=28:

1×281 \times 281×28, 2×142 \times 142×14, 4×74 \times 74×7
✅ Factors = {1, 2, 4, 7, 14, 28}

Step-by-Step Usage

Using the Factor Calculator online is very easy:

Enter the number you want to factorize.
Click the Calculate button.
The calculator instantly displays all factors of the number.
(Optional) Try another number by resetting the input.

Examples

Example 1: Factors of 36

Divisors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
✅ Result: Factors of 36 = {1, 2, 3, 4, 6, 9, 12, 18, 36}

Example 2: Factors of 45

Divisors of 45 are:
1, 3, 5, 9, 15, 45
✅ Result: Factors of 45 = {1, 3, 5, 9, 15, 45}

Example 3: Factors of 100

Divisors of 100 are:
1, 2, 4, 5, 10, 20, 25, 50, 100
✅ Result: Factors of 100 = {1, 2, 4, 5, 10, 20, 25, 50, 100}

FAQs

Q1. What is a Factor Calculator?
It’s an online tool that finds all factors of a given number quickly and accurately.

Q2. Can it handle very large numbers?
Yes, the calculator works with both small and large numbers efficiently.

Q3. Does it also show prime factors?
Some advanced versions include prime factorization, but the basic calculator lists all factors.

Q4. Who can use this tool?
Students, teachers, mathematicians, and professionals who deal with numbers.

Q5. Is the Factor Calculator free?
Yes, it’s 100% free and works online without any downloads.