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Factors of 136

Factors of 136 are the numbers which, when multiplied in pairs, give the product as 136. Few of these factors are positive and a few are negative as well. 136 is also an even composite number, which means that it has several factors. In this lesson, we will calculate the factors of 136 and learn about the prime factors of 136 and factors of 136 in pairs along with solved examples for a better understanding.

Factors of 136: 1, 2, 4 , 8, 17, 34, 68, and 136
Prime Factorization of 136: 92 = 2³ × 17

1.	What Are the Factors of 136?
2.	How to Calculate the Factors of 136?
3.	Factors of 136 by Prime Factorization
4.	Factors of 136 in Pairs
5.	FAQs on Factors of 136

What Are the Factors of 136?

Factors of a number n are the numbers that completely divide the number n. It means that if the remainder is zero, then the number is the factor of 136. We are talking about factors of the number 136 here. Let's see the numbers that completely divide 136.

The numbers that divide 136 completely are 1, 2, 4 , 8, 17, 34, 68, and 136.

Explore factors using illustrations and interactive examples.

Factors of 36: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 49 - The factors of 49 are 1, 7, 49
Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 360 - The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 18, 20, 36, 40, 45, 60, 90, 120, 180, 360

How to Calculate the Factors of 136?

Factors of the number 136 can be calculated as follows:

Write the smallest factor of 136 (except for 1). The smallest factor of 136 is 2. 136 ÷ 2 = 68. So, 2 and 68 are the factors of 136.
Write the next smallest factor of 136. The next smallest factor of 136 is 4. Therefore, 136 ÷ 4 = 34. So, 4 and 34 are the factors of 136.
Include 1 and the number itself to write all the factors.

Factors of 136 are 1, 2, 4 , 8, 17, 34, 68, and 136.

Important Notes

If a number n has an odd number of positive factors, then n is a perfect square.
1 and the number itself are also the factors of any number.
There are no factors of a number n between n and n/2.
A number that has more than 2 factors is called a composite number.
1 is not a prime number; 2 is the smallest prime number.

Factors of 136 by Prime Factorization

Prime factorization method to calculate the factors of any number is one of the most important methods. Many students prefer using prime factorization while performing calculations.

In the prime factorization method, we can only factorize a number into its prime factors.

Prime factorization of 136 is 136 = 2³ × 17

Factors of 136 in Pairs

Pair of factors of number 136 is the set of two numbers which, when multiplied together, give the number 136.

The following table represents the calculation of pair factors of 136:

Factor Pair	Pair Factorization
(1,136)	136÷1 = 136
(2,68)	136÷2 = 68
(4,34)	136÷4 = 34
(8,17)	136÷8 = 17

Example 1 Help Tom to find the sum of all the positive factors of 136.

Solution

Sum of all the factors is 1 + 2 + 4 + 8 + 17 + 34 + 68 +136 = 270

Therefore, sum of all the positive factors of 136 is 270.
Example 2 If factors of 136 are arranged in ascending order, the product of two middle factors obtained is P. If the factors are arranged in descending order, the product of three middle factors obtained is Q. Check whether P = Q or not.

Solution

Factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.

Factors of 136 arranged in ascending order: 1, 2, 4, 8, 17, 34, 68, and 136.
The middle two factors are 8 and 17.
8 × 17 = 136
P = 136

Factors of 92 arranged in descending order: 136, 68, 34, 17, 8, 4, 2, 1
Middle two factors are 17 and 8.
17 × 8 =136
Q = 136

Hence, P = Q.

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FAQs on Factors of 136

What is the highest common factor of 136 and 42?

Factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 136 are: 1, 2, 4 , 8, 17, 34, 68, and 136
Common factors between 42 and 136 are: 1, 2
HCF (42 and 136) is 2.

What are the highest common factors of 136 and 68?

Factors of 136 are: 1, 2, 4 , 8, 17, 34, 68, and 136
Factors of 68 are: 1, 2, 4,17, 34, and 68
The highest common factor of 136 and 72 is 68.

What are the factors of 136?

The factors of 136 are 1, 2, 4 , 8, 17, 34, 68, and 136.

What are the common factors of 136 and 36?

Factors of 136 are 1, 2, 4 , 8, 17, 34, 68, and 136.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Common factors of 36 and 136 are 1, 2, and 4.
HCF of 36 and 136 is 4.

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