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Factors of 152

Factors of 152 are numbers that, when multiplied in pairs give the product as 152. There are total 8 factors of 152 i.e. 1, 2, 4, 8, 19, 38, 76, 152. The Prime Factors of 152 are 2 × 19 and its Factors in Pairs are (1, 152), (2, 76), (4, 38), (8, 19).

All Factors of 152: 1, 2, 4, 8, 19, 38, 76 and 152
Negative Factors of 152: -1, -2, -4, -8, -19, -38, -76 and -152
Prime Factors of 152: 2, 19
Prime Factorization of 152: 2³ × 19¹
Sum of Factors of 152: 300

1.	What Are the Factors of 152?
2.	Factors of 152 by Prime Factorization
3.	Factors of 152 in Pairs
4.	FAQs on Factors of 152

What are Factors of 152?

Factors of 152 are pairs of those numbers whose products result in 152. These factors are either prime numbers or composite numbers.

How to Find the Factors of 152?

To find the factors of 152, we will have to find the list of numbers that would divide 152 without leaving any remainder.

152/8 = 19; therefore, 8 is a factor of 152 and 19 is also a factor of 152.
152/76 = 2; therefore, 76 is a factor of 152 and 2 is also a factor of 152.

Similarly we can find other factors. Hence, the factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152.

☛ Also Check:

Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 25 - The factors of 25 are 1, 5, 25
Factors of 41 - The factors of 41 are 1, 41
Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

Factors of 152 by Prime Factorization

The number 152 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 152. The first step is to divide the number 152 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19

Further dividing 19 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 19 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 152 can be written as 2³ × 19¹ where 2, 19 are prime.

Factors of 152 in Pairs

Pair factors of 152 are the pairs of numbers that when multiplied give the product 152. The factors of 152 in pairs are:

1 × 152 = (1, 152)
2 × 76 = (2, 76)
4 × 38 = (4, 38)
8 × 19 = (8, 19)

Negative pair factors of 152 are:

-1 × -152 = (-1, -152)
-2 × -76 = (-2, -76)
-4 × -38 = (-4, -38)
-8 × -19 = (-8, -19)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 152 Solved Examples

Example 1: How many factors are there for 152?

Solution:

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. Therefore, 152 has 8 factors.
Example 2: Find the LCM and Greatest Common Divisor (GCD) of 152 and 141.

Solution:

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152 and factors of 141 are 1, 3, 47, 141.

Therefore, the LCM of 152 and 141 is 21432 and Greatest Common Divisor (GCD) of 152 and 141 is 1.
Example 3: Find if 4, 8, 38, 76 and 95 are factors of 152.

Solution:

When we divide 152 by 95 it leaves a remainder. Therefore, the number 95 is not a factor of 152. All numbers except 95 are factors of 152.
Example 4: Find the product of all the prime factors of 152.

Solution:

Since, the prime factors of 152 are 2, 19. Therefore, the product of prime factors = 2 × 19 = 38.

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FAQs on Factors of 152

What are the Factors of 152?

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152 and its negative factors are -1, -2, -4, -8, -19, -38, -76, -152.

What is the Sum of all the Factors of 152?

Sum of all factors of 152 = (2^{3 + 1} - 1)/(2 - 1) × (19^{1 + 1} - 1)/(19 - 1) = 300

What are Prime Factors of 152?

The prime factors of 152 are 2, 19.

What is the Greatest Common Factor of 152 and 115?

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152 and the factors of 115 are 1, 5, 23, 115. 152 and 115 have only one common factor which is 1. This implies that 152 and 115 are co-prime.

Hence, the Greatest Common Factor (GCF) of 152 and 115 is 1.

How Many Factors of 152 are also Factors of 114?

Since, the factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152 and the factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114.
Hence, [1, 2, 19, 38] are the common factors of 152 and 114.

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