48 Is A Multiple Of

Factors of 48 are the numbers that give the original number when multiplied together in pairs or nosotros can say, the numbers which divide 48 completely, leaving zip as a remainder, are its factors.The factors of 48 can be positive or negative. For example, the factors of 48 can be (1, 48) or (-1, -48). If we multiply the pair of negative factors, such as multiplying -1 and -48, it will result in the original number 48. Here, we will learn the factors of 48 and the pair factors and the prime factors of 48 using the prime number factorization method with many solved examples.

Tabular array of Contents:

What are the Factors of 48?
Pair Factors of 48
Factors of 48 by Partition Method
Prime Factorization of 48
Solved Examples
FAQs

What are the Factors of 48?

The factors of 48 are the numbers that dissever 48 exactly without leaving whatever remainder. In other words, the factors of 48 are the numbers that are multiplied in pairs resulting in an original number. As 48 is an fifty-fifty composite number, 48 has many factors other than 1 and 48. Thus, the factors of 48 are 1, 2, three, four, half-dozen, 8, 12, 16, 24 and 48.

Factors of 48: i, 2, 3, iv, 6, viii, 12, 16, 24 and 48.

Prime Factorization of 48: two×2×2×two×3 or 2 ⁴ × 3.

Pair Factors of 48

The pair factors of 48 are the numbers in which the pair of numbers are multiplied together resulting in an original number 48. As discussed above, the pair factors of 48 can likewise be positive or negative. Thus, the positive and negative pair factors 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	(ii, 24)
3 × 16	(iii, xvi)
4 × 12	(iv, 12)
half-dozen × 8	(vi, 8)

Negative Pair Factors of 48:

Negative Factors of 48	Negative Pair Factors of 48
-ane × -48	(-1, -48)
-2 × -24	(-2, -24)
-3 × -16	(-three, -16)
-4 × -12	(-4, -12)
-6 × -8	(-6, -eight)

Factors of 48 by Division Method

In the division method, the factors of 48 can be found past dividing 48 by different sequent integers. If the integer divides 48 exactly and leaves the remainder 0, and then the integers are the factors of 48. Now, let us discuss how to notice the factors of the division method.

- - 48/one = 48 (Factor 1 and Remainder = 0)
  - 48/2 = 24 (Factor 2 and Remainder = 0)
  - 48/3 = 16 (Factor three and Remainder =0)
  - 48/4 = 12 (Factor iv and Balance =0)
  - 48/6 = viii (Factor half dozen and Remainder =0)
  - 48/8 =6 (Gene =8 and Residuum =0)
  - 48/12 = four (Factor =12 and Remainder =0)
  - 48/16 = 3 (Gene = 16 and Residual =0)
  - 48/24 = 2 (Factor = 24 and Remainder =0)
  - 48/48 = 1 (Factor = 48 and Remainder =0)

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

If we divide 48 by any numbers other than 1, ii, three, four, 6, 8, 12, 16, 24 and 48, information technology leaves a rest, and hence, they are not the factors of 48.

Prime Factorization of 48

The number 48 is a composite number. Now permit us notice the prime factorisation of it.

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

48 ÷ two = 24

- - At present, check whether 24 can be further divided by 2 or not.

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

- - As three cannot be divided by 2 because factors are the whole numbers and not the fraction.
  - Therefore, we demand to carve up 3 past 3 itself, as iii is the adjacent prime number.

3 ÷ 3 = 1

- - Nosotros have received 1 at the end and further, nosotros cannot keep with the division method. Then, the prime factors of 48 are two × two × 2 × 2 × 3 or we can as well write them as 2⁴ × 3, where ii and iii both are prime numbers.

Video Lesson on Prime Factors

Examples

Case 1:

Find the common factors of 48 and 47.

Solution:

The factors of 48 are i, 2, 3, four, 6, 8, 12, 16, 24 and 48.

The factors of 47 are i and 47.

As 47 is a prime number, the common gene of 47 and 48 is 1.

Example two:

Find the common factors of 48 and 49.

Solution:

Factors of 48 = 1, 2, 3, iv, half dozen, 8, 12, sixteen, 24 and 48.

Factors of 49 = ane, 7, and 49.

Thus, the common gene of 48 and 49 is 1.

Example three:

Find the common factors of 48 and 24.

Solution:

The factors of 48 are 1, ii, iii, 4, vi, viii, 12, xvi, 24 and 48.

The factors of 24 are 1, 2, three, 4, 6, 8, 12 and 24.

Hence, the common factors of 48 and 24 are 1, 2, 3, iv, 6, viii, 12 and 24

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Frequently Asked Questions on Factors of 48

What are the factors of 48?

The factors of 48 are 1, 2, 3, 4, half dozen, 8, 12, xvi, 24 and 48.

What is the prime factorization of 48?

The prime factorization of 48 is 2×2×ii×2×three or two^iv × iii.

Write down the positive pair factors of 48?

The positive pair factors of 48 are (1, 48), (ii, 24), (iii, 16), (4, 12), and (6, viii).

What are the negative pair factors of 48?

The negative pair factors of 48 are (-i, -48), (-ii, -24), (-3, -16), (-4, -12), and (-6, -8).

Is 24 a factor of 48?

Aye, 24 is a factor of 48. If 48 is divided past 24, it leaves a remainder 0, and hence 24 is a factor of 48.