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Factors of 349

Factors of 349 are the list of integers that we can split evenly into 349. There are overall 2 factors of 349 i.e. 1, 349 where 349 is the biggest factor. The Pair Factors of 349 are (1, 349) and its Prime Factors is 349.

All Factors of 349: 1 and 349
Negative Factors of 349: -1 and -349
Prime Factors of 349: 349
Prime Factorization of 349: 349¹
Sum of Factors of 349: 350

1.	What Are the Factors of 349?
2.	Factors of 349 by Prime Factorization
3.	Factors of 349 in Pairs
4.	FAQs on Factors of 349

What are Factors of 349?

Factors of 349 are pairs of those numbers whose products result in 349. These factors are either prime numbers or composite numbers.

How to Find the Factors of 349?

To find the factors of 349, we will have to find the list of numbers that would divide 349 without leaving any remainder.

349/1 = 349; therefore, 1 is a factor of 349.
349/349 = 1; therefore, 349 is a factor of 349.

Hence, the factors of 349 are 1, 349.

☛ Also Check:

Factors of 31 - The factors of 31 are 1, 31
Factors of 35 - The factors of 35 are 1, 5, 7, 35
Factors of 41 - The factors of 41 are 1, 41
Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

Factors of 349 by Prime Factorization

The number 349 is prime and therefore its factors are only the numbers 1 and 349 itself. Hence, it has only one prime factor that is the number itself, i.e. 349.

So, the prime factorization of 349 can be written as 349¹ where 349 is prime.

Factors of 349 in Pairs

Pair factors of 349 are the pairs of numbers that when multiplied give the product 349. The factors of 349 in pairs are:

1 × 349 = (1, 349)

Negative pair factors of 349 are:

-1 × -349 = (-1, -349)

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

Factors of 349 Solved Examples

Example 1: How many factors are there for 349?

Solution:

The factors of 349 are 1, 349. Therefore, 349 has 2 factors.
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 349 and 141.

Solution:

The factors of 349 are 1, 349 and factors of 141 are 1, 3, 47, 141.

Therefore, the Least Common Multiple of 349 and 141 is 49209 and Greatest Common Divisor (GCD) of 349 and 141 is 1.
Example 3: Find if 260 and 349 are factors of 349.

Solution:

When we divide 349 by 260 it leaves a remainder. Therefore, the number 260 is not a factor of 349. All numbers except 260 are factors of 349.
Example 4: Find the product of all the factors of 349.

Solution:

Since, the factors of 349 are 1, 349. Therefore, the product of factors = 1 × 349 = 349.

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FAQs on Factors of 349

What are the Factors of 349?

The factors of 349 are 1, 349 and its negative factors are -1, -349.

What is the Sum of all Factors of 349?

All the Factors of 349 are 1, 349 and therefore the sum of all these factors is 1 + 349 = 350

What are the Pair Factors of 349?

The pair factors of 349 are (1, 349).

What is the Greatest Common Factor of 349 and 205?

The factors of 349 are 1, 349 and the factors of 205 are 1, 5, 41, 205. 349 and 205 have only one common factor which is 1. This implies that 349 and 205 are co-prime.

Hence, the Greatest Common Factor (GCF) of 349 and 205 is 1.

How Many Factors of 349 are also common to the Factors of 75?

Since, the factors of 349 are 1, 349 and factors of 75 are 1, 3, 5, 15, 25, 75. Hence, 349 and 75 have only one common factor which is 1. Therefore, 349 and 75 are co-prime.

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