Factors of 870 are the list of integers that we can split evenly into 870. There are total 16 factors of 870, of which 2, 3, 5, 29 are its prime factors. The sum of all factors of 870 is 2160.

• All Factors of 870: 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870
• Prime Factors of 870: 2, 3, 5, 29
• Prime Factorization of 870: 2¹ × 3¹ × 5¹ × 29¹
• Sum of Factors of 870: 2160

1.	What Are the Factors of 870?
2.	Factors of 870 by Prime Factorization
3.	Factors of 870 in Pairs
4.	FAQs on Factors of 870

Factors of 870 are pairs of those numbers whose products result in 870. These factors are either prime numbers or composite numbers.

How to Find the Factors of 870?

To find the factors of 870, we will have to find the list of numbers that would divide 870 without leaving any remainder.

• 870/145 = 6; therefore, 145 is a factor of 870 and 6 is also a factor of 870.
• 870/15 = 58; therefore, 15 is a factor of 870 and 58 is also a factor of 870.

Similarly we can find other factors. Hence, the factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870.

☛ Also Check:

• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 19 - The factors of 19 are 1, 19

The number 870 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 870. The first step is to divide the number 870 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 870 ÷ 2 = 435

Further dividing 435 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 435 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 870 can be written as 2¹ × 3¹ × 5¹ × 29¹ where 2, 3, 5, 29 are prime.

Pair factors of 870 are the pairs of numbers that when multiplied give the product 870. The factors of 870 in pairs are:

• 1 × 870 = (1, 870)
• 2 × 435 = (2, 435)
• 3 × 290 = (3, 290)
• 5 × 174 = (5, 174)
• 6 × 145 = (6, 145)
• 10 × 87 = (10, 87)
• 15 × 58 = (15, 58)
• 29 × 30 = (29, 30)

Negative pair factors of 870 are:

• -1 × -870 = (-1, -870)
• -2 × -435 = (-2, -435)
• -3 × -290 = (-3, -290)
• -5 × -174 = (-5, -174)
• -6 × -145 = (-6, -145)
• -10 × -87 = (-10, -87)
• -15 × -58 = (-15, -58)
• -29 × -30 = (-29, -30)

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