# what is the prime factorization of 100

The factors of 100 are numbers, which produce 100 when two numbers are multiplied. The factor pairs of 100 are integers that can be positive or negative but are not decimals or decimals. To find the factor of a number, 100, we will use the factorization method. In the factorization method, first take the numbers, 1 and 100 as factors of 100 and continue to find other pairs of multiples of 100 to give the original number. In this lesson, we will learn the factors of 100 and the pairs of factors of 100 and the prime factors of 100 using prime factors and many solved examples.Read: What is the prime factor of 100**Table of contents:**

- What is the factor of 100?
- Paired factors of 100
- The coefficients of 100 by the division method
- Prime number of 100
- Solved examples
- Frequently asked questions

## What is the factor of 100?

Contents

The factors of 100 are numbers that divide 100 exactly without leaving any remainder. In other words, the factors of 100 are numbers that are multiplied in pairs to produce an initial number of 100. Since the number 100 is an even composite number, 100 has many other factors than 1 and the number itself. . Therefore, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

## Paired factors of 100

To find pairs of positive and negative factors of 100, multiply the two numbers in a pair to get the original number 100, the numbers as follows: Therefore, the pairs of positive factors of 100 are (1, 100), (2 , 50), (4, 25), (5, 20) and (10, 10). Similarly, pairs of negative coefficients of 100 are (-1, -100), (-2, -50), (-4, -25), (-5, -20) and (-10, -10) .

## The coefficients of 100 by the division method

The factors of 100 can be found using the division method. In the division method, the number 100 is divided by different consecutive integers. If integers divide exactly 100, then those integers are factors of 100. First, start dividing 100 by 1 and continue with consecutive integers.

- 100/1 = 100 (Coefficient is 1 and Rest is 0)
- 100/2 = 50 (Coefficient is 2 and Rest is 0)
- 100/4 = 25 (Coefficient is 4 and Rest is 0)
- 100/5 = 20 (Coefficient is 5 and Rest is 0)
- 100/10 = 10 (Coefficient is 10 and Rest is 0)
- 100/20 = 5 (Coefficient is 20 and Rest is 0)
- 100/25 = 4 (Coefficient is 25 and Rest is 0)
- 100/50 = 2 (Coefficient is 50 and Rest is 0)
- 100/100 = 1 (Coefficient is 100 and Rest is 0)

Thus, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. If we divide 100 by numbers other than 1, 2, 4, 5, 10, 20, 25, 50 and 100, it leaves a remainder and so they are not factors of 100.

## Prime number of 100

The number 100 is a composite number and it must have prime factors. Now tell us how to calculate the prime factors of 100.**Step 1: **The first step is to divide the number 100 by the smallest prime factor, say 2,100 ÷ 2 = 50**Step 2**: Again divide 50 by 2 and the process continues. Read more: what is the square root of 100 | Top Question & A50 2 = 25**Step 3:** You will get a fraction if you divide 25 by 2 and 3. So continue with the next prime factor, say 525 ÷ 5 = 55 ÷ 5 = 1 In the end, we get 1 at end of division. So we couldn’t go any further. Candlestick **prime factor of 100 **written as** 2 x 2 × 5 x 5 or 22 x 52**, where 2 and 5 are prime numbers. It is possible to find the exact factor of a number 100 with the help of prime factors. The prime factor of 100 is 22 x 52. The exponents in prime factors are 2 and 2. Add 1 to the exponents and multiply it. (2 + 1) (2 + 1) = 3 x 3 = 9. So the number 100 has 9 factors.

### Examples

**Example 1:**Find the common factor of 100 and 101.**Solution:**The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100, and the factors of 101 are 1 and 101. Since 101 is prime, the common factor of 100 and 101 is 1. Read more: What deck can I build with my collection**Example 2:**Find the common factor of 100 and 99.**Solution:**The factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100. The factors of 99 = 1, 3, 9, 11, 33 and 99. The common factors of 100 and 99 are just that. is 1.**Example 3:**Find the common factor of 100 and 50.**Solution:**The coefficients of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100, the coefficients of 50 are 1, 2, 5, 10, 25, and 50 So the common coefficients of 100 and 50 are 1, 2, 5, 10, 25, and 50 Follow BYJU’S to learn about the factor of 100 as well as the factors and primes of other numbers. Download BYJU’S – Learning App for a better experience and better understanding, and watch interactive videos. Read more: What is jt’s real name

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