The components of 100 space the numbers, that develop the an outcome as 100 when two numbers space multiplied together. Variable pairs the the number 100 space the entirety numbers which could be either positive or negative but no a portion or decimal number. To discover the components of a number, 100, us will usage the administer method. In the administrate method, very first take the numbers, 1 and also 100 as factors of 100 and proceed with finding the various other pair of multiples the 100 which gives the results as an initial number. In this article, us will learn the determinants of 100 and the pair components of 100 and also the prime components of 100 using the element factorization and also many fixed examples.

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What are the components of 100?

The components of 100 space the number that divide 100 specifically without leaving any kind of remainder. In various other words, the factors of 100 room the numbers that are multiplied in pairs leading to an initial number 100. Together the number 100 is an also composite number, 100 has countless factors other than 1 and also the number itself. Thus, the components of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.


Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and also 100.

Prime administrate of 100: 2 x 2 × 5 x 5 or 22 x 52.


Pair factors of 100

To uncover the hopeful and negative factor pairs of 100, main point the two numbers in a pair to obtain the original number as 100, together numbers room as follows:


Positive Pair FactorNegative Pair Factor
1 × 100 = 100 ⇒ (1, 100) -1 × -100 = 100 ⇒ (-1, -100)
2 × 50 = 100 ⇒ (2, 50)-2 × -50 = 100 ⇒ (-2, -50)
4 × 25 = 100 ⇒ (4, 25)-4 × -25 = 100 ⇒ (-4, -25)
5 × 20 = 100 ⇒ (5, 20) -5 × -20 = 100 ⇒ (-5, -20)
10 × 10 = 100 ⇒ (10, 10)-10 × -10 = 100 ⇒ (-10, -10)

Hence, the optimistic pair factors of 100 space (1, 100), (2, 50), (4, 25), (5, 20) and (10, 10). Similarly, the an unfavorable pair determinants of 100 room (-1, -100), (-2, -50), (-4, -25), (-5, -20) and also (-10, -10). 

Factors of 100 by division Method

The determinants of 100 deserve to be discovered using the division method. In the division method, the number 100 is separated by different consecutive integers. If the integer divides 100 exactly, climate those integers space the factors of 100. First, start splitting 100 by 1 and also continue with the consecutive integers.

100/1 = 100 (Factor is 1 and Remainder is 0)100/2 = 50 ( variable is 2 and also Remainder is 0)100/4 = 25 ( aspect is 4 and also Remainder is 0)100/5 = 20 (Factor is 5 and also Remainder is 0)100/10 = 10 (Factor is 10 and also Remainder is 0)100/20 = 5 (Factor is 20 and also Remainder is 0)100/25 = 4 (Factor is 25 and also Remainder is 0)100/50 = 2 (Factor is 50 and also Remainder is 0)100/100 = 1 (Factor is 100 and also Remainder is 0)

Thus, the determinants of 100 space 1, 2, 4, 5, 10, 20, 25, 50 and also 100. If we division 100 by various numbers various other than 1, 2, 4, 5, 10, 20, 25, 50 and 100, it leaves a remainder and also hence, they are not the components of 100.

Prime administer of 100

The number 100 is a composite and also it should have actually prime factors. Now let us know just how to calculation the prime components of 100.

Step 1: The an initial step is to divide the number 100 through the the smallest prime factor, to speak 2.

100 ÷ 2 = 50

Step 2: Again division 50 through 2 and the process goes on.

50 ÷ 2 = 25

Step 3: friend will get a spring number if you divide 25 by 2 and 3. So proceed with the next prime factor, to speak 5

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the finish of the division process. For this reason that we cannot continue further. So, the prime determinants of 100 are composed as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers.

It is feasible to uncover the exact variety of factors the a number 100 with the help of prime factorisation. The prime element of the 100 is 22 x 52. The index number in the prime factorisation space 2 and 2. Add the number 1 v the exponents and multiply it. (2+1)(2+1) = 3 x 3 = 9. Therefore, the number 100 has actually 9 factors.


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Examples

Example 1:

Find the typical factors the 100 and 101.

Solution:

The determinants of 100 space 1, 2, 4, 5, 10, 20, 25, 50, and also 100.

The determinants of 101 room 1 and also 101.

As 101 is a prime number, the typical factor of 100 and 101 is 1.

Example 2:

Find the usual factors the 100 and also 99.

Solution:

Factors the 100 = 1, 2, 4, 5, 10, 20, 25, 50, and also 100.

Factors that 99 = 1, 3, 9, 11, 33 and also 99.

The typical factor the 100 and also 99 is 1 only.

Example 3:

Find the common factors the 100 and 50.

Solution:

The factors of 100 space 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The determinants of 50 space 1, 2, 5, 10, 25 and also 50.

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Thus, the typical factors that 100 and 50 are 1, 2, 5, 10, 25 and 50

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