Factors Of 104 In Pairs

Factors of 104

The factors of a number tin either be prime number or blended. Hence, 104 is an fifty-fifty composite number itself which constitutes of factors which are either prime or composite. Let'due south learn to calculate the factors of 104, prime factors of 104, and factors of 104 in pairs along with solved examples for a better understanding.

Factors of 104:
one, 2, four, 8, thirteen, 26, 52 and 104
Prime Factorization of 104: 104 = two³ × 13

1.	What Are the Factors of 104?
ii.	How to Calculate Factors of 104?
3.	Factors of 104 by Prime Factorization
4.	Factors of 104 in Pairs
5.	FAQs on Factors of 104

What are the Factors of 104?

Factors of 104 are the numbers which when multiplied in pairs give the product every bit 104. These factors tin be negative besides. The gene of a number is that number which divides it completely, i.e., leaves no residuum.For example: To find the factors of the number 104, we will have to perform division on 104 and observe the numbers which divide 104 completely, leaving no remainders.

The diagram below provides the representation of the above definition:

How to Calculate the Factors of 104?

To calculate the factors of any number, say, 104, we demand to notice all the numbers that would divide 104 without leaving any residue. Nosotros start with the number ane, then check for numbers 2, 3, 4, 5, 6, 7, etc. up to 52 (half of 104). The number 1 and the number itself are always factors of the given number.

Refer to the following table to check division 104 past its factors:

S.No.	Division	Factor
1.	104 ÷ one	Rest = 0 Hence, Factor = 1
2.	104 ÷ 2	Residuum = 0 Hence, Factor = 2
iii.	104 ÷ iv	Residue = 0 Hence, Factor = four
4.	104 ÷ 8	Remainder = 0 Hence, Factor = 8
five.	104 ÷ 13	Remainder = 0 Hence, Gene = 13
6.	104 ÷ 26	Remainder = 0 Hence, Factor = 26
seven.	104 ÷ 52	Remainder = 0 Hence, Gene = 52
8.	104 ÷ 104	Remainder = 0 Hence, Factor = 104

Hence, the
factors of 104 are one, 2, 4, 8, thirteen, 26, 52 and 104.

Explore factors using illustrations and interactive examples

Factors of 105 – The factors of 105 are one, 3, 5, 7, fifteen, 21, 35, 105
Factors of 140 – The factors of 104 are 1, 2, 4, 5, 7, 10, 14, twenty, 28, 35, 70,140
Factors of 26 – The factors of 26 are 1, 2, xiii, 26
Factors of 52 – The factors of 52 are 1, 2, 4, thirteen, 26, 52
Factors of thirteen – The factors of 13 are one, 13
Factors of viii – The factors of viii are 1, ii, 4, 8

Factors of 104 past Prime Factorization

Prime factorization of a number refers to breaking down the number into the form of products of its prime number factors.

There are different methods that can be used for the prime factorization of a number.

Method i: Division Method

To find the prime factors of 104 using the partitioning method, follow these steps:

Stride one.
Showtime dividing 104 by the smallest prime, i.eastward., 2, 3, 5, then on. Find the smallest prime factor of the number.
Step 2.
Subsequently finding the smallest prime factor of the number 104, which is 2, divide 104 by 2 to obtain the quotient (52).

104 ÷ two = 52

Footstep iii.
Repeat step 1 with the obtained quotient (52). Again, the prime factor for 52 would be 2,

52 ÷ two = 26

Similarly,

26 ÷ 2 = thirteen

xiii ÷ 13 = 1

So, the prime number factorization of 104 is, 104 = 2 × ii × 2 × thirteen = 2³ × 13

Method two: Factor Tree Method

We tin can follow the same process using the factor tree of 104 as shown below:

Factor Tree of 104

So, the prime number factorization of 104 is, 104 = two × 2 × two × thirteen = two^three × xiii. Farther, observe the products of the multiplicands in different orders to obtain the composite factors of the number. Thus, all the factors of 104 can be written, including both the prime and composite numbers, every bit, i, 2, 4, 8, 13, 26, 52, 104

Factors of 104 in Pairs

Pair factors of a number are two numbers which, when multiplied together, give that number. The pair factors of 104 would be the two numbers which, when multiplied, give 104 equally the result.

The post-obit table represents the calculation of factors of 104 in pairs:

Factor Pair	Pair Factorization
i and 104	1 × 104 = 104
ii and 52	two × 52 = 104
4 and 26	four × 26 = 104
viii and xiii	viii × 13 = 104

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 104. They are chosen as negative pair factors.

Hence, the negative factor pairs of 104 would be ( -i, -104 ), ( -2, -52), ( -4, -26), and ( -eight, -xiii).

Important Notes:

Only whole numbers and integers can be factors.
Only composite numbers tin have more than than two factors.
The smallest factor of a number is i and the biggest factor of a number is the number itself.

Example i:Can y'all help Aubrey summate the sum of all the even factors of 104?

Solution:

We know that, the factors of 104 are, ane, 2, 4, 8, 13, 26, 52, 104. The even factors = ii, 4, 8, 26, 52, 104
The sum of all the fifty-fifty factors = 2 + 4 + viii + 26 + 52 + 104 = 196
Hence, Sum = 196
Example 2:What is the production of the smallest blended gene and the largest prime cistron of 104?

Solution:

We know that the factors of 104 is 1, 2, 4, 8, xiii, 26, 52, 104. The smallest blended factor is 4.
The largest prime cistron is 13. Their product = thirteen × 4 = 52
Hence, the production is 52.

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FAQs on Factors of 104

Which is the samllest prime number factor of 104?

The factors of 104 is i, 2, iv, 8, xiii, 26, 52, 104.
The smallest prime factor of 104 is five.

Is 104 a perfect foursquare?

Nosotros know that 104 = ii × 2 × 2 × xiii. Using prime factorization, we meet that the foursquare root of 104 cannot be calculated.
Thus, 104 is not a perfect square.

What are the factors of 104 and 105?

The cistron of a number divides the number completely, i.e., leaves no residual. The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 105 are 1, three, 5, seven, fifteen, 21, 35, 105

What is the prime number factorization of 104?

Prime factorization of a number refers to breaking down a number into the form of products of its prime factors.
So, the prime factorization of 104 is, two × 2 × 2 × xiii = 2³ × 13.

What are the factors of 104?

The factor of a number divides the number completely, i.e., leaves no balance. The factors of 104 are 1, ii, 4, 8, 13, 26, 52, 104.

Factors Of 104 In Pairs,

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