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Factors of 329

Factors of 329 are the list of integers that we can split evenly into 329. There are overall 4 factors of 329 among which 329 is the biggest factor and its positive factors are 1, 7, 47, 329. The sum of all factors of 329 is 384 and its factors in Pairs are (1, 329), (7, 47).

All Factors of 329: 1, 7, 47 and 329
Negative Factors of 329: -1, -7, -47 and -329
Prime Factors of 329: 7, 47
Prime Factorization of 329: 7¹ × 47¹
Sum of Factors of 329: 384

1.	What Are the Factors of 329?
2.	Factors of 329 by Prime Factorization
3.	Factors of 329 in Pairs
4.	FAQs on Factors of 329

What are Factors of 329?

Factors of 329 are pairs of those numbers whose products result in 329. These factors are either prime numbers or composite numbers.

How to Find the Factors of 329?

To find the factors of 329, we will have to find the list of numbers that would divide 329 without leaving any remainder.

329/47 = 7; therefore, 47 is a factor of 329 and 7 is also a factor of 329.
329/1 = 329; therefore, 1 is a factor of 329 and 329 is also a factor of 329.

Similarly we can find other factors. Hence, the factors of 329 are 1, 7, 47, 329.

☛ Also Check:

Factors of 55 - The factors of 55 are 1, 5, 11, 55
Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 5 - The factors of 5 are 1, 5
Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 26 - The factors of 26 are 1, 2, 13, 26

Factors of 329 by Prime Factorization

The number 329 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 329. The first step is to divide the number 329 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

329 ÷ 7 = 47

Further dividing 47 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 47 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 329 can be written as 7¹ × 47¹ where 7, 47 are prime.

Factors of 329 in Pairs

Pair factors of 329 are the pairs of numbers that when multiplied give the product 329. The factors of 329 in pairs are:

1 × 329 = (1, 329)
7 × 47 = (7, 47)

Negative pair factors of 329 are:

-1 × -329 = (-1, -329)
-7 × -47 = (-7, -47)

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

Factors of 329 Solved Examples

Example 1: How many factors are there for 329?

Solution:

The factors of 329 are 1, 7, 47, 329. Therefore, 329 has 4 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 329 and 53.

Solution:

The factors of 329 are 1, 7, 47, 329 and factors of 53 are 1, 53.

Therefore, the Lowest Common Multiple (LCM) of 329 and 53 is 17437 and Greatest Common Divisor (GCD) of 329 and 53 is 1.
Example 3: Find if 1, 276 and 329 are factors of 329.

Solution:

When we divide 329 by 276 it leaves a remainder. Therefore, the number 276 is not a factor of 329. All numbers except 276 are factors of 329.
Example 4: Find the product of all the prime factors of 329.

Solution:

Since, the prime factors of 329 are 7, 47. Therefore, the product of prime factors = 7 × 47 = 329.

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FAQs on Factors of 329

What are the Factors of 329?

The factors of 329 are 1, 7, 47, 329 and its negative factors are -1, -7, -47, -329.

What is the Sum of all the Factors of 329?

Factors of 329 are 1, 7, 47, 329 and, the sum of all these factors is 1 + 7 + 47 + 329 = 384

What are the Pair Factors of 329?

The pair factors of 329 are (1, 329), (7, 47).

What is the Greatest Common Factor of 329 and 27?

The factors of 329 are 1, 7, 47, 329 and the factors of 27 are 1, 3, 9, 27. 329 and 27 have only one common factor which is 1. This implies that 329 and 27 are co-prime.

Hence, the Greatest Common Factor (GCF) of 329 and 27 is 1.

How Many Factors of 24 are also common to the Factors of 329?

Since, the factors of 329 are 1, 7, 47, 329 and factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Hence, 329 and 24 have only one common factor which is 1. Therefore, 329 and 24 are co-prime.

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