Factors of 882 are the list of integers that we can split evenly into 882. There are overall 18 factors of 882, of which 2, 3, 7 are its prime factors. The sum of all factors of 882 is 2223.

• All Factors of 882: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
• Prime Factors of 882: 2, 3, 7
• Prime Factorization of 882: 2¹ × 3² × 7²
• Sum of Factors of 882: 2223

1.	What Are the Factors of 882?
2.	Factors of 882 by Prime Factorization
3.	Factors of 882 in Pairs
4.	FAQs on Factors of 882

Factors of 882 are pairs of those numbers whose products result in 882. These factors are either prime numbers or composite numbers.

How to Find the Factors of 882?

To find the factors of 882, we will have to find the list of numbers that would divide 882 without leaving any remainder.

• 882/42 = 21; therefore, 42 is a factor of 882 and 21 is also a factor of 882.
• 882/18 = 49; therefore, 18 is a factor of 882 and 49 is also a factor of 882.

Similarly we can find other factors. Hence, the factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.

☛ Also Check:

• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The number 882 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 882. The first step is to divide the number 882 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 882 ÷ 2 = 441

Further dividing 441 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 441 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 882 can be written as 2¹ × 3² × 7² where 2, 3, 7 are prime.

Pair factors of 882 are the pairs of numbers that when multiplied give the product 882. The factors of 882 in pairs are:

• 1 × 882 = (1, 882)
• 2 × 441 = (2, 441)
• 3 × 294 = (3, 294)
• 6 × 147 = (6, 147)
• 7 × 126 = (7, 126)
• 9 × 98 = (9, 98)
• 14 × 63 = (14, 63)
• 18 × 49 = (18, 49)
• 21 × 42 = (21, 42)

Negative pair factors of 882 are:

• -1 × -882 = (-1, -882)
• -2 × -441 = (-2, -441)
• -3 × -294 = (-3, -294)
• -6 × -147 = (-6, -147)
• -7 × -126 = (-7, -126)
• -9 × -98 = (-9, -98)
• -14 × -63 = (-14, -63)
• -18 × -49 = (-18, -49)
• -21 × -42 = (-21, -42)

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