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Factors of 187

Factors of 187 are numbers that, when multiplied in pairs give the product as 187. There are total 4 factors of 187 i.e. 1, 11, 17, 187. The Prime Factors and Pair Factors of 187 are 11 × 17 and (1, 187), (11, 17) respectively.

All Factors of 187: 1, 11, 17 and 187
Negative Factors of 187: -1, -11, -17 and -187
Prime Factors of 187: 11, 17
Prime Factorization of 187: 11¹ × 17¹
Sum of Factors of 187: 216

1.	What Are the Factors of 187?
2.	Factors of 187 by Prime Factorization
3.	Factors of 187 in Pairs
4.	FAQs on Factors of 187

What are Factors of 187?

Factors of 187 are pairs of those numbers whose products result in 187. These factors are either prime numbers or composite numbers.

How to Find the Factors of 187?

To find the factors of 187, we will have to find the list of numbers that would divide 187 without leaving any remainder.

187/11 = 17; therefore, 11 is a factor of 187 and 17 is also a factor of 187.
187/187 = 1; therefore, 187 is a factor of 187 and 1 is also a factor of 187.

Similarly we can find other factors. Hence, the factors of 187 are 1, 11, 17, 187.

☛ Also Check:

Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 33 - The factors of 33 are 1, 3, 11, 33
Factors of 49 - The factors of 49 are 1, 7, 49

Factors of 187 by Prime Factorization

The number 187 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 187. The first step is to divide the number 187 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

187 ÷ 11 = 17

Further dividing 17 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 17 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 187 can be written as 11¹ × 17¹ where 11, 17 are prime.

Factors of 187 in Pairs

Pair factors of 187 are the pairs of numbers that when multiplied give the product 187. The factors of 187 in pairs are:

1 × 187 = (1, 187)
11 × 17 = (11, 17)

Negative pair factors of 187 are:

-1 × -187 = (-1, -187)
-11 × -17 = (-11, -17)

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

Factors of 187 Solved Examples

Example 1: How many factors are there for 187?

Solution:

The factors of 187 are 1, 11, 17, 187. Therefore, 187 has 4 factors.
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 187 and 154.

Solution:

The factors of 187 are 1, 11, 17, 187 and factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154.

Therefore, the Least Common Multiple of 187 and 154 is 2618 and Greatest Common Divisor (GCD) of 187 and 154 is 11.
Example 3: Find if 1, 17 and 162 are factors of 187.

Solution:

When we divide 187 by 162 it leaves a remainder. Therefore, the number 162 is not a factor of 187. All numbers except 162 are factors of 187.
Example 4: Find the product of all the prime factors of 187.

Solution:

Since, the prime factors of 187 are 11, 17. Therefore, the product of prime factors = 11 × 17 = 187.

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FAQs on Factors of 187

What are the Factors of 187?

The factors of 187 are 1, 11, 17, 187 and its negative factors are -1, -11, -17, -187.

What is the Sum of Factors of 187?

Factors of 187 are 1, 11, 17, 187 and, the sum of all these factors is 1 + 11 + 17 + 187 = 216

What are the Pair Factors of 187?

The pair factors of 187 are (1, 187), (11, 17).

What is the Greatest Common Factor of 187 and 133?

The factors of 187 are 1, 11, 17, 187 and the factors of 133 are 1, 7, 19, 133. 187 and 133 have only one common factor which is 1. This implies that 187 and 133 are co-prime.

Hence, the Greatest Common Factor (GCF) of 187 and 133 is 1.

How Many Factors of 169 are also common to the Factors of 187?

Since, the factors of 187 are 1, 11, 17, 187 and factors of 169 are 1, 13, 169. Hence, 187 and 169 have only one common factor which is 1. Therefore, 187 and 169 are co-prime.

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