Factors the 48 space the numbers that give the original number once multiplied with each other in pairs or we deserve to say, the number which division 48 completely, leaving zero together a remainder, are its factors. The determinants of 48 have the right to be hopeful or negative. For example, the factors of 48 deserve to be (1, 48) or (-1, -48). If us multiply the pair of negative factors, such together multiplying -1 and also -48, it will an outcome in the initial number 48. Here, we will discover the determinants of 48 and also the pair factors and the prime factors of 48 making use of the element factorization an approach with plenty of solved examples. 

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Table that Contents:

What are the determinants of 48?

The components of 48 room the numbers that division 48 precisely without leaving any kind of remainder. In various other words, the determinants of 48 room the number that are multiplied in pairs bring about an original number. Together 48 is an even composite number, 48 has plenty of factors various other than 1 and also 48. Thus, the determinants of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.

You are watching: 48 as a product of prime factors


Factors the 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.

Prime factorization of 48: 2×2×2×2×3 or 24 × 3.


Pair components of 48

The pair determinants of 48 space the number in i beg your pardon the pair that numbers are multiplied together leading to an initial number 48. As discussed above, the pair components of 48 can likewise be hopeful or negative. Thus, the hopeful and an adverse pair components of 48 are given below:

Positive Pair factors of 48:


Positive factors of 48

Positive Pair factors 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 determinants 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 the 48 by division Method

In the division method, the components of 48 have the right to be uncovered by splitting 48 by different consecutive integers. If the integer divides 48 exactly and leaves the remainder 0, then the integers room the components of 48. Now, permit us talk about how to find the factors of the department method.

48/1 = 48 (Factor 1 and also Remainder = 0)48/2 = 24 (Factor 2 and 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 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 Remainder =0)48/24 = 2 (Factor = 24 and Remainder =0)48/48 = 1 (Factor = 48 and Remainder =0)

Thus, the factors of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

If we divide 48 by any type of numbers various other than 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48, it leaves a remainder, and also hence, they room not the components of 48.

Prime administrate of 48

The number 48 is a composite number. Currently let us uncover the prime factorisation the it.

The first step is to divide the number 48 with the smallest prime factor,i.e. 2.

48 ÷ 2 = 24

Now, inspect whether 24 have the right to be further separated by 2 or not.

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

As 3 cannot be separated by 2 due to the fact that factors space the totality numbers and not the fraction.Therefore, we need to divide 3 by 3 itself, as 3 is the following prime number.

3 ÷ 3 = 1


Links concerned Factors
Factors the 24Factor of 36
Factors the 18Factors that 12

Examples

Example 1:

Find the common factors of 48 and 47.

Solution:

The components of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.

The determinants of 47 space 1 and 47.

As 47 is a prime number, the usual factor the 47 and 48 is 1.

Example 2:

Find the common factors the 48 and also 49.

Solution:

Factors the 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Factors of 49 = 1, 7, and also 49.

Thus, the usual factor that 48 and also 49 is 1.

Example 3:

Find the typical factors that 48 and also 24.

Solution:

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.

The factors of 24 space 1, 2, 3, 4, 6, 8, 12 and also 24.

Hence, the typical factors that 48 and also 24 room 1, 2, 3, 4, 6, 8, 12 and also 24

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Frequently Asked questions on determinants of 48


What space the components of 48?


The components of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48.