Factors of 765 are the list of integers that can be evenly divided into 765. There are overall 12 factors of 765, of which 3, 5, 17 are its prime factors. The sum of all factors of 765 is 1404.

• All Factors of 765: 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765
• Prime Factors of 765: 3, 5, 17
• Prime Factorization of 765: 3² × 5¹ × 17¹
• Sum of Factors of 765: 1404

1.	What Are the Factors of 765?
2.	Factors of 765 by Prime Factorization
3.	Factors of 765 in Pairs
4.	FAQs on Factors of 765

Factors of 765 are pairs of those numbers whose products result in 765. These factors are either prime numbers or composite numbers.

How to Find the Factors of 765?

To find the factors of 765, we will have to find the list of numbers that would divide 765 without leaving any remainder.

• 765/765 = 1; therefore, 765 is a factor of 765.
• 765/3 = 255; therefore, 3 is a factor of 765.

Similarly we can find other factors. Hence, the factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765.

☛ Also Check:

• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The number 765 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 765. The first step is to divide the number 765 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 765 ÷ 3 = 255
• 255 ÷ 3 = 85

Further dividing 85 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 85 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 765 can be written as 3² × 5¹ × 17¹ where 3, 5, 17 are prime.

Pair factors of 765 are the pairs of numbers that when multiplied give the product 765. The factors of 765 in pairs are:

• 1 × 765 = (1, 765)
• 3 × 255 = (3, 255)
• 5 × 153 = (5, 153)
• 9 × 85 = (9, 85)
• 15 × 51 = (15, 51)
• 17 × 45 = (17, 45)

Negative pair factors of 765 are:

• -1 × -765 = (-1, -765)
• -3 × -255 = (-3, -255)
• -5 × -153 = (-5, -153)
• -9 × -85 = (-9, -85)
• -15 × -51 = (-15, -51)
• -17 × -45 = (-17, -45)

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