Factors of 18 room the number that provide the original number 18 when multiplied with each other in pairs. Basically, the components are the numbers that divide the initial number completely. The pair element of 18 is a pair of numbers on multiplication, causing the initial number. The pair aspect of 18 deserve to be positive and also negative, but it can not be a decimal or fraction. Because that example, the pair factor of 18 is created as (1, 18) or (-1, -18). If we multiply a pair of an adverse numbers, such as multiplying -1 and -18, results in an initial number 18. In this article, we room going to find out what are the factors of 18, pair factors and also the prime determinants of 18 utilizing the element factorization technique with countless solved examples.
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Table of Contents:
What room the factors of 18?
The components of 18 space the numbers that division 18 completely without leaving a remainder value. In other words, the numbers which space multiplied together leading to the number 18 room the determinants of 18. As 18 is an also composite number, that has more factors other than 1 and 18. Hence, the factors of 18 are 1, 2, 3, 6, 9 and also 18, and also its an unfavorable factors are -1, -2, -3, -6, -9 and also -18.
Factors the 18: 1, 2, 3, 6, 9 and 18. Prime administer of 18: 2 × 3 × 3 or 2 × 32. |
Pair components of 18
The number which room multiplied together resulting in 18 is dubbed the pair factor of 18. As discussed above, the pair determinants of 18 deserve to be positive or negative. Thus, the hopeful and an adverse pair components of 18 are provided below:
Positive Pair determinants of 18:
Positive determinants of 18 | Positive Pair components of 18 |
1 × 18 | (1, 18) |
2 × 9 | (2, 9) |
3 × 6 | (3, 6) |
Negative Pair factor of 18:
Negative components of 18 | Negative Pair components of 18 |
-1 × -18 | (-1, -18) |
-2 × -9 | (-2, -9) |
-3 × -6 | (-3, -6) |
Hence, the hopeful pair components of 18 space (1, 18), (2, 9) and (3, 6). Similarly, the an unfavorable pair components of 18 are (-1, -18), (-2, -9), (-3, -6).
Factors of 18 by division Method
In the division method, the components of 18 are found by dividing 18 by various integers. If the integers divide 18 exactly and leave the remainder zero, then those integers are the components of 18. Now, let us start splitting 18 by 1 and also proceed through the various integers.
18/1 = 18 (Factor is 1 and also Remainder is 0)18/2 = 9 (Factor is 2 and Remainder is 0)18/3 = 6 (Factor is 3 and also Remainder is 0)18/6 = 3 (Factor is 6 and also Remainder is 0)18/9 = 2 (Factor is 9 and also Remainder is 0)18/18 = 1 (Factor is 18 and also Remainder is 0)If we divide 18 by any type of numbers other than 1, 2, 3, 6, 9 and 18, it pipeline a remainder. Thus, the determinants of 18 are 1, 2, 3, 6, 9 and 18.
Prime administrate of 18
The number 18 is a composite number. Currently let us discover the prime determinants of it.
The first step is to division the number 18 with the the smallest prime factor,i.e. 2.18 ÷ 2 = 9
Now, check whether 9 have the right to be further divided by 2 or not.9 ÷ 2 = 4.5
It gives a fountain value. However the factors should be a totality number.
Therefore, we will relocate to the next prime number, i.e. 3.
Now, division 9 by 3.9 ÷ 3 = 3
Again divide 3 through 3.3 ÷ 3 = 1
| Links pertained to Factors | |
| Factors and Multiples | Factor of 36 |
| Factor Theorem | Prime Factors |
Examples
Example 1:
Find the usual factors of 18 and 17.
Solution:
The components of 18 room 1, 2, 3, 6, 9 and also 18.
The components of 17 are 1 and also 17.
As 17 is a prime number, the usual factor of 18 and 17 is 1.
Example 2:
Find the common factors the 18 and 19.
Solution:
Factors that 18 = 1, 2, 3, 6, 9 and also 18.
Factors the 19 = 1 and also 19.
The common factor of 18 and also 19 is 1, as 19 is a prime number.
Example 3:
Find the typical factors that 18 and also 9.
Solution:
The factors of 18 room 1, 2, 3, 6, 9 and also 18.
The components of 9 room 1, 3 and also 9.
Therefore, the usual factors of 18 and 9 are 1, 3 and 9.
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