Factors of 345 are the list of integers that we can split evenly into 345. There are overall 8 factors of 345 i.e. 1, 3, 5, 15, 23, 69, 115, 345 where 345 is the biggest factor. The Pair Factors of 345 are (1, 345), (3, 115), (5, 69), (15, 23) and its Prime Factors are 3 × 5 × 23.

• All Factors of 345: 1, 3, 5, 15, 23, 69, 115 and 345
• Negative Factors of 345: -1, -3, -5, -15, -23, -69, -115 and -345
• Prime Factors of 345: 3, 5, 23
• Prime Factorization of 345: 3¹ × 5¹ × 23¹
• Sum of Factors of 345: 576

1.	What Are the Factors of 345?
2.	Factors of 345 by Prime Factorization
3.	Factors of 345 in Pairs
4.	FAQs on Factors of 345

Factors of 345 are pairs of those numbers whose products result in 345. These factors are either prime numbers or composite numbers.

How to Find the Factors of 345?

To find the factors of 345, we will have to find the list of numbers that would divide 345 without leaving any remainder.

• 345/345 = 1; therefore, 345 is a factor of 345.
• 345/69 = 5; therefore, 69 is a factor of 345.

Similarly we can find other factors. Hence, the factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345.

☛ Also Check:

• Factors of 7 - The factors of 7 are 1, 7
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The number 345 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 345. The first step is to divide the number 345 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 345 ÷ 3 = 115

Further dividing 115 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 115 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 345 can be written as 3¹ × 5¹ × 23¹ where 3, 5, 23 are prime.

Pair factors of 345 are the pairs of numbers that when multiplied give the product 345. The factors of 345 in pairs are:

• 1 × 345 = (1, 345)
• 3 × 115 = (3, 115)
• 5 × 69 = (5, 69)
• 15 × 23 = (15, 23)

Negative pair factors of 345 are:

• -1 × -345 = (-1, -345)
• -3 × -115 = (-3, -115)
• -5 × -69 = (-5, -69)
• -15 × -23 = (-15, -23)

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