The determinants of 100 are the numbers, that develop the result as 100 once two numbers are multiplied together. Factor pairs the the number 100 are the totality numbers which might be either positive or negative but no a portion or decimal number. To discover the components of a number, 100, us will use the factorization method. In the administrate method, very first take the numbers, 1 and also 100 as components of 100 and proceed through finding the various other pair the multiples the 100 which gives the outcomes as an original number. In this article, us will discover the factors of 100 and the pair determinants of 100 and also the prime components of 100 using the element factorization and many solved examples.

You are watching: 100 as a product of prime factors

Table the Contents:

## What room the components of 100?

The determinants of 100 space the number that division 100 specifically without leaving any remainder. In various other words, the determinants of 100 are the numbers that room multiplied in pairs causing an original number 100. Together the number 100 is an even composite number, 100 has countless factors other than 1 and also the number itself. Thus, the components of 100 room 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 administer of 100: 2 x 2 × 5 x 5 or 22 x 52.

## Pair determinants of 100

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

 Positive Pair Factor Negative 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 positive pair determinants of 100 are (1, 100), (2, 50), (4, 25), (5, 20) and also (10, 10). Similarly, the an adverse pair determinants of 100 room (-1, -100), (-2, -50), (-4, -25), (-5, -20) and (-10, -10).

## Factors that 100 by department Method

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

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

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

## Prime factorization of 100

The number 100 is a composite and it should have prime factors. Now let united state know how to calculate the prime determinants of 100.

Step 1: The very first step is to divide the number 100 v the the smallest prime factor, speak 2.

100 ÷ 2 = 50

Step 2: Again divide 50 through 2 and the procedure goes on.

50 ÷ 2 = 25

Step 3: friend will get a fountain number if you division 25 by 2 and also 3. So proceed with the following prime factor, say 5

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 in ~ the end of the division process. Therefore that us cannot continue further. So, the prime factors of 100 are composed as 2 x 2 × 5 x 5 or 22 x 52, where 2 and also 5 room the prime numbers.

It is feasible to uncover the exact number of factors the a number 100 v the assist of prime factorisation. The prime aspect of the 100 is 22 x 52. The index number in the element factorisation room 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.

 Links related to Factors Factors of 8 Factors the 36 Factors the 56 Factors that 54 Factors of 64 Factors that 25 Factors the 42 Factors that 60 Factors that 35 Factors that 75

### Examples

Example 1:

Find the typical factors that 100 and also 101.

Solution:

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

The components of 101 are 1 and 101.

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

Example 2:

Find the typical factors of 100 and also 99.

Solution:

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

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

The usual factor the 100 and 99 is 1 only.

Example 3:

Find the common factors of 100 and 50.

Solution:

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

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

See more: What Causes The Process Of Transmutation ? Natural Transmutation

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

Stay tuned through BYJU’S to know about factor 100 and the factors and prime components of various other numbers. Download BYJU’S – The Learning app for far better experience and also clarification and additionally watch interaction videos.