Factors of 795 are the list of integers that can be evenly divided into 795. There are 8 factors of 795, which are 1, 3, 5, 15, 53, 159, 265, 795. Here, 795 is the biggest factor. The Prime Factors and Pair Factors of 795 are 3 × 5 × 53 and (1, 795), (3, 265), (5, 159), (15, 53) respectively.

• All Factors of 795: 1, 3, 5, 15, 53, 159, 265 and 795
• Negative Factors of 795: -1, -3, -5, -15, -53, -159, -265 and -795
• Prime Factors of 795: 3, 5, 53
• Prime Factorization of 795: 3¹ × 5¹ × 53¹
• Sum of Factors of 795: 1296

1.	What Are the Factors of 795?
2.	Factors of 795 by Prime Factorization
3.	Factors of 795 in Pairs
4.	FAQs on Factors of 795

Factors of 795 are pairs of those numbers whose products result in 795. These factors are either prime numbers or composite numbers.

How to Find the Factors of 795?

To find the factors of 795, we will have to find the list of numbers that would divide 795 without leaving any remainder.

• 795/53 = 15; therefore, 53 is a factor of 795 and 15 is also a factor of 795.
• 795/159 = 5; therefore, 159 is a factor of 795 and 5 is also a factor of 795.

Similarly we can find other factors. Hence, the factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The number 795 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 795. The first step is to divide the number 795 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 795 ÷ 3 = 265

Further dividing 265 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 265 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 795 can be written as 3¹ × 5¹ × 53¹ where 3, 5, 53 are prime.

Pair factors of 795 are the pairs of numbers that when multiplied give the product 795. The factors of 795 in pairs are:

• 1 × 795 = (1, 795)
• 3 × 265 = (3, 265)
• 5 × 159 = (5, 159)
• 15 × 53 = (15, 53)

Negative pair factors of 795 are:

• -1 × -795 = (-1, -795)
• -3 × -265 = (-3, -265)
• -5 × -159 = (-5, -159)
• -15 × -53 = (-15, -53)

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