The factors of 100 are the numbers, that develop the an outcome as 100 once two numbers space multiplied together. Aspect pairs the the number 100 room the totality numbers which could be either optimistic or an unfavorable but no a fraction or decimal number. To uncover the determinants of a number, 100, we will usage the factorization method. In the administer method, an initial take the numbers, 1 and also 100 as factors of 100 and proceed with finding the other pair of multiples of 100 which gives the outcomes as an original number. In this article, we will learn the components of 100 and the pair components of 100 and the prime determinants of 100 utilizing the prime factorization and also many solved examples.
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Table the Contents:
What space the components of 100?
The components of 100 room the number that division 100 precisely without leaving any remainder. In various other words, the components of 100 are the number that are multiplied in pairs causing an initial number 100. As the number 100 is an even composite number, 100 has many factors various other than 1 and the number itself. Thus, the components of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and also 100.
Factors the 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100. Prime administer of 100: 2 x 2 × 5 x 5 or 22 x 52. |
Pair components of 100
To uncover the positive and an unfavorable factor pairs of 100, main point the 2 numbers in a pair to obtain the original number together 100, such numbers room 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 confident pair components of 100 space (1, 100), (2, 50), (4, 25), (5, 20) and (10, 10). Similarly, the negative pair factors of 100 space (-1, -100), (-2, -50), (-4, -25), (-5, -20) and (-10, -10).
Factors of 100 by department Method
The factors of 100 can be uncovered using the department method. In the department method, the number 100 is divided by different consecutive integers. If the creature divides 100 exactly, climate those integers are the determinants of 100. First, start dividing 100 by 1 and continue through the consecutive integers.
100/1 = 100 (Factor is 1 and also Remainder is 0)100/2 = 50 ( variable is 2 and also Remainder is 0)100/4 = 25 ( aspect is 4 and Remainder is 0)100/5 = 20 (Factor is 5 and also Remainder is 0)100/10 = 10 (Factor is 10 and Remainder is 0)100/20 = 5 (Factor is 20 and Remainder is 0)100/25 = 4 (Factor is 25 and 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 different numbers various other than 1, 2, 4, 5, 10, 20, 25, 50 and 100, it pipeline a remainder and hence, they room not the factors of 100.
Prime administer of 100
The number 100 is a composite and it should have actually prime factors. Now let united state know exactly how to calculation the prime determinants of 100.
Step 1: The an initial step is to divide the number 100 v the smallest prime factor, speak 2.
100 ÷ 2 = 50
Step 2: Again division 50 by 2 and also the procedure goes on.
50 ÷ 2 = 25
Step 3: you will get a spring number if you divide 25 through 2 and 3. So continue with the next prime factor, say 5
25 ÷ 5 = 5
5 ÷ 5 = 1
Finally, we obtained the number 1 in ~ the end of the division process. For this reason that us cannot continue further. So, the prime factors of 100 are created as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 room the prime numbers.
It is feasible to discover the exact number of factors the a number 100 with the assist of prime factorisation. The prime aspect of the 100 is 22 x 52. The exponents in the prime factorisation are 2 and also 2. Include the number 1 with the exponents and also multiply it. (2+1)(2+1) = 3 x 3 = 9. Therefore, the number 100 has actually 9 factors.
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Factors that 35 | Factors the 75 |
Examples
Example 1:
Find the usual factors that 100 and also 101.
Solution:
The factors of 100 room 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The determinants of 101 are 1 and 101.
As 101 is a element number, the common factor that 100 and 101 is 1.
Example 2:
Find the usual factors of 100 and 99.
Solution:
Factors that 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Factors the 99 = 1, 3, 9, 11, 33 and 99.
The usual factor the 100 and 99 is 1 only.
Example 3:
Find the usual factors the 100 and 50.
Solution:
The factors of 100 space 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The components of 50 are 1, 2, 5, 10, 25 and 50.
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Thus, the typical factors that 100 and 50 room 1, 2, 5, 10, 25 and also 50
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