Factors of 891 are the list of integers that we can split evenly into 891. There are 10 factors of 891 of which 891 itself is the biggest factor and its prime factors are 3, 11 The Prime Factorization of 891 is 3⁴ × 11¹.

• All Factors of 891: 1, 3, 9, 11, 27, 33, 81, 99, 297 and 891
• Negative Factors of 891: -1, -3, -9, -11, -27, -33, -81, -99, -297 and -891
• Prime Factors of 891: 3, 11
• Prime Factorization of 891: 3⁴ × 11¹
• Sum of Factors of 891: 1452

1.	What Are the Factors of 891?
2.	Factors of 891 by Prime Factorization
3.	Factors of 891 in Pairs
4.	FAQs on Factors of 891

Factors of 891 are pairs of those numbers whose products result in 891. These factors are either prime numbers or composite numbers.

How to Find the Factors of 891?

To find the factors of 891, we will have to find the list of numbers that would divide 891 without leaving any remainder.

• 891/33 = 27; therefore, 33 is a factor of 891 and 27 is also a factor of 891.
• 891/11 = 81; therefore, 11 is a factor of 891 and 81 is also a factor of 891.

Similarly we can find other factors. Hence, the factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891.

☛ Also Check:

• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 25 - The factors of 25 are 1, 5, 25

The number 891 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 891. The first step is to divide the number 891 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 891 ÷ 3 = 297
• 297 ÷ 3 = 99
• 99 ÷ 3 = 33
• 33 ÷ 3 = 11

Further dividing 11 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 891 can be written as 3⁴ × 11¹ where 3, 11 are prime.

Pair factors of 891 are the pairs of numbers that when multiplied give the product 891. The factors of 891 in pairs are:

• 1 × 891 = (1, 891)
• 3 × 297 = (3, 297)
• 9 × 99 = (9, 99)
• 11 × 81 = (11, 81)
• 27 × 33 = (27, 33)

Negative pair factors of 891 are:

• -1 × -891 = (-1, -891)
• -3 × -297 = (-3, -297)
• -9 × -99 = (-9, -99)
• -11 × -81 = (-11, -81)
• -27 × -33 = (-27, -33)

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