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Factors of 149

Factors of 149 are the list of integers that we can split evenly into 149. There are overall 2 factors of 149 among which 149 is the biggest factor and 1, 149 are positive factors. The Prime Factors and Pair Factors of 149 are 149 and (1, 149) respectively.

All Factors of 149: 1 and 149
Negative Factors of 149: -1 and -149
Prime Factors of 149: 149
Prime Factorization of 149: 149¹
Sum of Factors of 149: 150

1.	What Are the Factors of 149?
2.	Factors of 149 by Prime Factorization
3.	Factors of 149 in Pairs
4.	FAQs on Factors of 149

What are Factors of 149?

Factors of 149 are pairs of those numbers whose products result in 149. These factors are either prime numbers or composite numbers.

How to Find the Factors of 149?

To find the factors of 149, we will have to find the list of numbers that would divide 149 without leaving any remainder.

149/149 = 1; therefore, 149 is a factor of 149.
149/1 = 149; therefore, 1 is a factor of 149.

Hence, the factors of 149 are 1, 149.

☛ Also Check:

Factors of 15 - The factors of 15 are 1, 3, 5, 15
Factors of 35 - The factors of 35 are 1, 5, 7, 35
Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 31 - The factors of 31 are 1, 31
Factors of 27 - The factors of 27 are 1, 3, 9, 27

Factors of 149 by Prime Factorization

The number 149 is prime and therefore its factors are only the numbers 1 and 149 itself. Hence, it has only one prime factor that is the number itself, i.e. 149.

So, the prime factorization of 149 can be written as 149¹ where 149 is prime.

Factors of 149 in Pairs

Pair factors of 149 are the pairs of numbers that when multiplied give the product 149. The factors of 149 in pairs are:

1 × 149 = (1, 149)

Negative pair factors of 149 are:

-1 × -149 = (-1, -149)

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

Factors of 149 Solved Examples

Example 1: How many factors are there for 149?

Solution:

The factors of 149 are 1, 149. Therefore, 149 has 2 factors.
Example 2: Find the LCM and Greatest Common Divisor (GCD) of 149 and 66.

Solution:

The factors of 149 are 1, 149 and factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.

Therefore, the LCM of 149 and 66 is 9834 and Greatest Common Divisor (GCD) of 149 and 66 is 1.
Example 3: Find if 1 and 33 are factors of 149.

Solution:

When we divide 149 by 33 it leaves a remainder. Therefore, the number 33 is not a factor of 149. All numbers except 33 are factors of 149.
Example 4: Find the product of all the factors of 149.

Solution:

Since, the factors of 149 are 1, 149. Therefore, the product of factors = 1 × 149 = 149.

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FAQs on Factors of 149

What are the Factors of 149?

The factors of 149 are 1, 149 and its negative factors are -1, -149.

What is the Sum of all Factors of 149?

Since, all factors of 149 are 1, 149 therefore, the sum of its factors is 1 + 149 = 150.

What are Pair Factors of 149?

The pair factors of 149 are (1, 149).

What is the Greatest Common Factor of 149 and 32?

The factors of 149 are 1, 149 and the factors of 32 are 1, 2, 4, 8, 16, 32. 149 and 32 have only one common factor which is 1. This implies that 149 and 32 are co-prime.

Hence, the Greatest Common Factor (GCF) of 149 and 32 is 1.

How Many Factors of 149 are also common to the Factors of 113?

Since, the factors of 149 are 1, 149 and factors of 113 are 1, 113. Hence, 149 and 113 have only one common factor which is 1. Therefore, 149 and 113 are co-prime.

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