Factors of 890 are the list of integers that we can split evenly into 890. There are overall 8 factors of 890 among which 890 is the biggest factor and its positive factors are 1, 2, 5, 10, 89, 178, 445, 890. The sum of all factors of 890 is 1620. Its Prime Factors are 2 × 5 × 89 and (1, 890), (2, 445), (5, 178), (10, 89) are Pair Factors.

• All Factors of 890: 1, 2, 5, 10, 89, 178, 445 and 890
• Negative Factors of 890: -1, -2, -5, -10, -89, -178, -445 and -890
• Prime Factors of 890: 2, 5, 89
• Prime Factorization of 890: 2¹ × 5¹ × 89¹
• Sum of Factors of 890: 1620

1.	What Are the Factors of 890?
2.	Factors of 890 by Prime Factorization
3.	Factors of 890 in Pairs
4.	FAQs on Factors of 890

Factors of 890 are pairs of those numbers whose products result in 890. These factors are either prime numbers or composite numbers.

How to Find the Factors of 890?

To find the factors of 890, we will have to find the list of numbers that would divide 890 without leaving any remainder.

• 890/89 = 10; therefore, 89 is a factor of 890 and 10 is also a factor of 890.
• 890/2 = 445; therefore, 2 is a factor of 890 and 445 is also a factor of 890.

Similarly we can find other factors. Hence, the factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 34 - The factors of 34 are 1, 2, 17, 34

The number 890 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 890. The first step is to divide the number 890 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 890 ÷ 2 = 445

Further dividing 445 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 445 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 890 can be written as 2¹ × 5¹ × 89¹ where 2, 5, 89 are prime.

Pair factors of 890 are the pairs of numbers that when multiplied give the product 890. The factors of 890 in pairs are:

• 1 × 890 = (1, 890)
• 2 × 445 = (2, 445)
• 5 × 178 = (5, 178)
• 10 × 89 = (10, 89)

Negative pair factors of 890 are:

• -1 × -890 = (-1, -890)
• -2 × -445 = (-2, -445)
• -5 × -178 = (-5, -178)
• -10 × -89 = (-10, -89)

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