Factors of 874 are the list of integers that we can split evenly into 874. There are 8 factors of 874 of which 874 itself is the biggest factor and its positive factors are 1, 2, 19, 23, 38, 46, 437, 874. The Prime Factors of 874 are 2 × 19 × 23 and its Factors in Pairs are (1, 874), (2, 437), (19, 46), (23, 38).

• All Factors of 874: 1, 2, 19, 23, 38, 46, 437 and 874
• Negative Factors of 874: -1, -2, -19, -23, -38, -46, -437 and -874
• Prime Factors of 874: 2, 19, 23
• Prime Factorization of 874: 2¹ × 19¹ × 23¹
• Sum of Factors of 874: 1440

1.	What Are the Factors of 874?
2.	Factors of 874 by Prime Factorization
3.	Factors of 874 in Pairs
4.	FAQs on Factors of 874

Factors of 874 are pairs of those numbers whose products result in 874. These factors are either prime numbers or composite numbers.

How to Find the Factors of 874?

To find the factors of 874, we will have to find the list of numbers that would divide 874 without leaving any remainder.

• 874/437 = 2; therefore, 437 is a factor of 874 and 2 is also a factor of 874.
• 874/46 = 19; therefore, 46 is a factor of 874 and 19 is also a factor of 874.

Similarly we can find other factors. Hence, the factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.

☛ Also Check:

• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 874 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 874. The first step is to divide the number 874 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 874 ÷ 2 = 437

Further dividing 437 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 437 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 874 can be written as 2¹ × 19¹ × 23¹ where 2, 19, 23 are prime.

Pair factors of 874 are the pairs of numbers that when multiplied give the product 874. The factors of 874 in pairs are:

• 1 × 874 = (1, 874)
• 2 × 437 = (2, 437)
• 19 × 46 = (19, 46)
• 23 × 38 = (23, 38)

Negative pair factors of 874 are:

• -1 × -874 = (-1, -874)
• -2 × -437 = (-2, -437)
• -19 × -46 = (-19, -46)
• -23 × -38 = (-23, -38)

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