Factors of 18 are the number that give the original number 18 once multiplied together in pairs. Basically, the components are the number that divide the initial number completely. The pair element of 18 is a pair of number on multiplication, causing the initial number. The pair aspect of 18 deserve to be positive and negative, however it cannot be a decimal or fraction. For example, the pair element of 18 is created as (1, 18) or (-1, -18). If we multiply a pair of an unfavorable numbers, such together multiplying -1 and -18, results in an original number 18. In this article, we room going to find out what are the factors of 18, pair factors and also the prime factors of 18 utilizing the element factorization technique with numerous solved examples.
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Table that Contents:
What are the components of 18?
The factors of 18 space the number that divide 18 fully without leave a remainder value. In other words, the numbers which room multiplied together leading to the number 18 are the factors of 18. Together 18 is an even composite number, that has an ext factors various other than 1 and also 18. Hence, the components of 18 room 1, 2, 3, 6, 9 and 18, and its an unfavorable factors room -1, -2, -3, -6, -9 and -18.
Factors that 18: 1, 2, 3, 6, 9 and also 18. Prime administer of 18: 2 × 3 × 3 or 2 × 32. |
Pair components of 18
The number which room multiplied together causing 18 is referred to as the pair element of 18. As questioned above, the pair factors of 18 have the right to be confident or negative. Thus, the confident and negative pair components of 18 are given below:
Positive Pair components 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 factors of 18 | Negative Pair determinants of 18 |
-1 × -18 | (-1, -18) |
-2 × -9 | (-2, -9) |
-3 × -6 | (-3, -6) |
Hence, the positive pair components of 18 are (1, 18), (2, 9) and also (3, 6). Similarly, the an adverse pair components of 18 room (-1, -18), (-2, -9), (-3, -6).
Factors the 18 by department Method
In the department method, the determinants of 18 are found by dividing 18 by different integers. If the integers divide 18 exactly and also leave the remainder zero, climate those integers space the components of 18. Now, let us start dividing 18 by 1 and proceed v the various integers.
18/1 = 18 (Factor is 1 and also Remainder is 0)18/2 = 9 (Factor is 2 and also Remainder is 0)18/3 = 6 (Factor is 3 and Remainder is 0)18/6 = 3 (Factor is 6 and Remainder is 0)18/9 = 2 (Factor is 9 and also Remainder is 0)18/18 = 1 (Factor is 18 and Remainder is 0)If we division 18 by any kind of numbers various other than 1, 2, 3, 6, 9 and 18, it pipeline a remainder. Thus, the components of 18 are 1, 2, 3, 6, 9 and 18.
Prime administer of 18
The number 18 is a composite number. Now let us discover the prime determinants of it.
The first step is to divide 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 split by 2 or not.9 ÷ 2 = 4.5
It gives a fountain value. But the determinants should it is in a entirety number.
Therefore, we will move to the following prime number, i.e. 3.
Now, division 9 by 3.9 ÷ 3 = 3
Again divide 3 by 3.3 ÷ 3 = 1
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Examples
Example 1:
Find the typical factors of 18 and 17.
Solution:
The factors of 18 are 1, 2, 3, 6, 9 and also 18.
The components of 17 space 1 and 17.
As 17 is a element number, the usual factor that 18 and 17 is 1.
Example 2:
Find the usual factors the 18 and 19.
Solution:
Factors the 18 = 1, 2, 3, 6, 9 and also 18.
Factors the 19 = 1 and 19.
The usual factor of 18 and also 19 is 1, as 19 is a element number.
Example 3:
Find the typical factors of 18 and also 9.
Solution:
The determinants of 18 space 1, 2, 3, 6, 9 and also 18.
The components of 9 room 1, 3 and also 9.
Therefore, the usual factors that 18 and also 9 are 1, 3 and also 9.
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Frequently Asked inquiries on factors of 18
What space the components of 18?
The components of 18 room 1, 2, 3, 6, 9 and also 18.