Factors of 48 are the number that provide the original number as soon as multiplied with each other in bag or we deserve to say, the number which division 48 completely, leaving zero as a remainder, space its factors. The components of 48 have the right to be optimistic or negative. Because that example, the factors of 48 have the right to be (1, 48) or (-1, -48). If us multiply the pair of negative factors, such as multiplying -1 and -48, it will an outcome in the original number 48. Here, us will learn the components of 48 and also the pair factors and also the prime factors of 48 using the element factorization an approach with plenty of solved examples.
Table the Contents:
What space the determinants of 48?
The determinants of 48 are the numbers that division 48 precisely without leaving any type of remainder. In various other words, the components of 48 room the number that are multiplied in pairs leading to an original number. As 48 is an also composite number, 48 has numerous factors various other than 1 and 48. Thus, the factors of 48 space 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.
You are watching: List the factors of 48 that are composite
Factors that 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. Prime administer of 48: 2×2×2×2×3 or 24 × 3. |
Pair factors of 48
The pair determinants of 48 room the number in i m sorry the pair of numbers space multiplied together leading to an initial number 48. As disputed above, the pair determinants of 48 can likewise be positive or negative. Thus, the positive and an unfavorable pair components of 48 are provided below:
Positive Pair factors of 48:
Positive components of 48 | Positive Pair components of 48 |
1 × 48 | (1, 48) |
2 × 24 | (2, 24) |
3 × 16 | (3, 16) |
4 × 12 | (4, 12) |
6 × 8 | (6, 8) |
Negative Pair components of 48:
Negative factors of 48 | Negative Pair determinants of 48 |
-1 × -48 | (-1, -48) |
-2 × -24 | (-2, -24) |
-3 × -16 | (-3, -16) |
-4 × -12 | (-4, -12) |
-6 × -8 | (-6, -8) |
Factors that 48 by department Method
In the division method, the factors of 48 can be found by splitting 48 by various consecutive integers. If the integer divides 48 exactly and leaves the remainder 0, then the integers are the components of 48. Now, permit us discuss how to uncover the determinants of the department method.
48/1 = 48 (Factor 1 and Remainder = 0)48/2 = 24 (Factor 2 and also Remainder = 0)48/3 = 16 (Factor 3 and Remainder =0)48/4 = 12 (Factor 4 and also Remainder =0)48/6 = 8 (Factor 6 and also Remainder =0)48/8 =6 (Factor =8 and also Remainder =0)48/12 = 4 (Factor =12 and Remainder =0)48/16 = 3 (Factor = 16 and also Remainder =0)48/24 = 2 (Factor = 24 and Remainder =0)48/48 = 1 (Factor = 48 and also Remainder =0)Thus, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.
If we divide 48 by any numbers various other than 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48, it leaves a remainder, and also hence, they are not the determinants of 48.
Prime administer of 48
The number 48 is a composite number. Currently let us find the prime factorisation that it.
The first step is to divide the number 48 v the the smallest prime factor,i.e. 2.48 ÷ 2 = 24
Now, inspect whether 24 deserve to be further split by 2 or not.24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
As 3 can not be separated by 2 because factors are the entirety numbers and also not the fraction.Therefore, we should divide 3 through 3 itself, as 3 is the next prime number.3 ÷ 3 = 1
Links regarded Factors | |
Factors the 24 | Factor of 36 |
Factors of 18 | Factors the 12 |
Examples
Example 1:
Find the usual factors of 48 and also 47.
Solution:
The determinants of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.
The factors of 47 space 1 and 47.
As 47 is a prime number, the usual factor of 47 and also 48 is 1.
Example 2:
Find the typical factors of 48 and 49.
Solution:
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.
Factors of 49 = 1, 7, and 49.
Thus, the common factor that 48 and 49 is 1.
Example 3:
Find the common factors the 48 and also 24.
Solution:
The determinants of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
The components of 24 space 1, 2, 3, 4, 6, 8, 12 and also 24.
Hence, the usual factors the 48 and 24 are 1, 2, 3, 4, 6, 8, 12 and 24
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See more: Means And Extremes Of A Proportion, What Are The Means And Extremes Of Proportions
Frequently Asked inquiries on factors of 48
What space the factors of 48?
The components of 48 space 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.