A day full of math games & activities. Find one near you.

Factors of 310

Factors of 310 are numbers that, when multiplied in pairs give the product as 310. There are 8 factors of 310, which are 1, 2, 5, 10, 31, 62, 155, 310. Here, 310 is the biggest factor. The sum of all factors of 310 is 576 and its factors in Pairs are (1, 310), (2, 155), (5, 62), (10, 31).

All Factors of 310: 1, 2, 5, 10, 31, 62, 155 and 310
Negative Factors of 310: -1, -2, -5, -10, -31, -62, -155 and -310
Prime Factors of 310: 2, 5, 31
Prime Factorization of 310: 2¹ × 5¹ × 31¹
Sum of Factors of 310: 576

1.	What Are the Factors of 310?
2.	Factors of 310 by Prime Factorization
3.	Factors of 310 in Pairs
4.	FAQs on Factors of 310

What are Factors of 310?

Factors of 310 are pairs of those numbers whose products result in 310. These factors are either prime numbers or composite numbers.

How to Find the Factors of 310?

To find the factors of 310, we will have to find the list of numbers that would divide 310 without leaving any remainder.

310/1 = 310; therefore, 1 is a factor of 310.
310/155 = 2; therefore, 155 is a factor of 310.

Similarly we can find other factors. Hence, the factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310.

☛ Also Check:

Factors of 29 - The factors of 29 are 1, 29
Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
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
Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

Factors of 310 by Prime Factorization

The number 310 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 310. The first step is to divide the number 310 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

310 ÷ 2 = 155

Further dividing 155 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 155 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 310 can be written as 2¹ × 5¹ × 31¹ where 2, 5, 31 are prime.

Factors of 310 in Pairs

Pair factors of 310 are the pairs of numbers that when multiplied give the product 310. The factors of 310 in pairs are:

1 × 310 = (1, 310)
2 × 155 = (2, 155)
5 × 62 = (5, 62)
10 × 31 = (10, 31)

Negative pair factors of 310 are:

-1 × -310 = (-1, -310)
-2 × -155 = (-2, -155)
-5 × -62 = (-5, -62)
-10 × -31 = (-10, -31)

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

Factors of 310 Solved Examples

Example 1: How many factors are there for 310?

Solution:

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. Therefore, 310 has 8 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 310 and 136.

Solution:

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310 and factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136.

Therefore, the Lowest Common Multiple (LCM) of 310 and 136 is 21080 and Greatest Common Factor (GCF) of 310 and 136 is 2.
Example 3: Find if 2, 5, 10, 21 and 155 are factors of 310.

Solution:

When we divide 310 by 21 it leaves a remainder. Therefore, the number 21 is not a factor of 310. All numbers except 21 are factors of 310.
Example 4: Find the product of all the prime factors of 310.

Solution:

Since, the prime factors of 310 are 2, 5, 31. Therefore, the product of prime factors = 2 × 5 × 31 = 310.

go to slide go to slide go to slide go to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

go to slide go to slide go to slide go to slide go to slide

FAQs on Factors of 310

What are the Factors of 310?

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310 and its negative factors are -1, -2, -5, -10, -31, -62, -155, -310.

What is the Sum of all the Factors of 310?

Sum of all factors of 310 = (2^{1 + 1} - 1)/(2 - 1) × (5^{1 + 1} - 1)/(5 - 1) × (31^{1 + 1} - 1)/(31 - 1) = 576

What are Prime Factors of 310?

The prime factors of 310 are 2, 5, 31.

What is the Greatest Common Factor of 310 and 280?

The factors of 310 and 280 are 1, 2, 5, 10, 31, 62, 155, 310 and 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 respectively.

Common factors of 310 and 280 are [1, 2, 5, 10].

Hence, the Greatest Common Factor (GCF) of 310 and 280 is 10.

What are the Common Factors of 310 and 71?

Since, the factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310 and factors of 71 are 1, 71. Hence, 310 and 71 have only one common factor which is 1. Therefore, 310 and 71 are co-prime.

Math worksheets and
visual curriculum