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Factors of 269

Factors of 269 are the list of integers that can be evenly divided into 269. There are 2 factors of 269 of which 269 itself is the biggest factor and its positive factors are 1, 269. The Pair Factors of 269 are (1, 269) and its Prime Factors is 269.

All Factors of 269: 1 and 269
Negative Factors of 269: -1 and -269
Prime Factors of 269: 269
Prime Factorization of 269: 269¹
Sum of Factors of 269: 270

1.	What Are the Factors of 269?
2.	Factors of 269 by Prime Factorization
3.	Factors of 269 in Pairs
4.	FAQs on Factors of 269

What are Factors of 269?

Factors of 269 are pairs of those numbers whose products result in 269. These factors are either prime numbers or composite numbers.

How to Find the Factors of 269?

To find the factors of 269, we will have to find the list of numbers that would divide 269 without leaving any remainder.

269/269 = 1; therefore, 269 is a factor of 269.
269/1 = 269; therefore, 1 is a factor of 269.

Hence, the factors of 269 are 1, 269.

☛ Also Check:

Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 4 - The factors of 4 are 1, 2, 4
Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
Factors of 65 - The factors of 65 are 1, 5, 13, 65

Factors of 269 by Prime Factorization

The number 269 is prime and therefore its factors are only the numbers 1 and 269 itself. Hence, it has only one prime factor that is the number itself, i.e. 269.

So, the prime factorization of 269 can be written as 269¹ where 269 is prime.

Factors of 269 in Pairs

Pair factors of 269 are the pairs of numbers that when multiplied give the product 269. The factors of 269 in pairs are:

1 × 269 = (1, 269)

Negative pair factors of 269 are:

-1 × -269 = (-1, -269)

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

Factors of 269 Solved Examples

Example 1: How many factors are there for 269?

Solution:

The factors of 269 are 1, 269. Therefore, 269 has 2 factors.
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 269 and 57.

Solution:

The factors of 269 are 1, 269 and factors of 57 are 1, 3, 19, 57.

Therefore, the Least Common Multiple of 269 and 57 is 15333 and Greatest Common Factor (GCF) of 269 and 57 is 1.
Example 3: Find if 3 and 269 are factors of 269.

Solution:

When we divide 269 by 3 it leaves a remainder. Therefore, the number 3 is not a factor of 269. All numbers except 3 are factors of 269.
Example 4: Find the product of all the factors of 269.

Solution:

Since, the factors of 269 are 1, 269. Therefore, the product of factors = 1 × 269 = 269.

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FAQs on Factors of 269

What are the Factors of 269?

The factors of 269 are 1, 269 and its negative factors are -1, -269.

What is the Sum of the Factors of 269?

Factors of 269 are 1, 269 and, the sum of all these factors is 1 + 269 = 270

What are Prime Factors of 269?

The prime factor of 269 is 269.

What is the Greatest Common Factor of 269 and 82?

The factors of 269 are 1, 269 and the factors of 82 are 1, 2, 41, 82. 269 and 82 have only one common factor which is 1. This implies that 269 and 82 are co-prime.

Hence, the Greatest Common Factor (GCF) of 269 and 82 is 1.

How Many Factors of 269 are also Factors of 128?

Since, the factors of 269 are 1, 269 and factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. Hence, 269 and 128 have only one common factor which is 1. Therefore, 269 and 128 are co-prime.

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