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

Factors of 318

Factors of 318 are numbers that, when multiplied in pairs give the product as 318. There are 8 factors of 318, which are 1, 2, 3, 6, 53, 106, 159, 318. Here, 318 is the biggest factor. The sum of all factors of 318 is 648 and its factors in Pairs are (1, 318), (2, 159), (3, 106), (6, 53).

All Factors of 318: 1, 2, 3, 6, 53, 106, 159 and 318
Negative Factors of 318: -1, -2, -3, -6, -53, -106, -159 and -318
Prime Factors of 318: 2, 3, 53
Prime Factorization of 318: 2¹ × 3¹ × 53¹
Sum of Factors of 318: 648

1.	What Are the Factors of 318?
2.	Factors of 318 by Prime Factorization
3.	Factors of 318 in Pairs
4.	FAQs on Factors of 318

What are Factors of 318?

Factors of 318 are pairs of those numbers whose products result in 318. These factors are either prime numbers or composite numbers.

How to Find the Factors of 318?

To find the factors of 318, we will have to find the list of numbers that would divide 318 without leaving any remainder.

318/1 = 318; therefore, 1 is a factor of 318.
318/53 = 6; therefore, 53 is a factor of 318.

Similarly we can find other factors. Hence, the factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.

☛ Also Check:

Factors of 7 - The factors of 7 are 1, 7
Factors of 10 - The factors of 10 are 1, 2, 5, 10
Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
Factors of 13 - The factors of 13 are 1, 13
Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

Factors of 318 by Prime Factorization

The number 318 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 318. The first step is to divide the number 318 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

318 ÷ 2 = 159

Further dividing 159 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 159 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 318 can be written as 2¹ × 3¹ × 53¹ where 2, 3, 53 are prime.

Factors of 318 in Pairs

Pair factors of 318 are the pairs of numbers that when multiplied give the product 318. The factors of 318 in pairs are:

1 × 318 = (1, 318)
2 × 159 = (2, 159)
3 × 106 = (3, 106)
6 × 53 = (6, 53)

Negative pair factors of 318 are:

-1 × -318 = (-1, -318)
-2 × -159 = (-2, -159)
-3 × -106 = (-3, -106)
-6 × -53 = (-6, -53)

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

Factors of 318 Solved Examples

Example 1: How many factors are there for 318?

Solution:

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. Therefore, 318 has 8 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 318 and 61.

Solution:

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318 and factors of 61 are 1, 61.

Therefore, the Lowest Common Multiple (LCM) of 318 and 61 is 19398 and Greatest Common Factor (GCF) of 318 and 61 is 1.
Example 3: Find if 1, 2, 3, 254 and 318 are factors of 318.

Solution:

When we divide 318 by 254 it leaves a remainder. Therefore, the number 254 is not a factor of 318. All numbers except 254 are factors of 318.
Example 4: Find the product of all the prime factors of 318.

Solution:

Since, the prime factors of 318 are 2, 3, 53. Therefore, the product of prime factors = 2 × 3 × 53 = 318.

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 318

What are the Factors of 318?

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318 and its negative factors are -1, -2, -3, -6, -53, -106, -159, -318.

What is the Sum of the Factors of 318?

Sum of all factors of 318 = (2^{1 + 1} - 1)/(2 - 1) × (3^{1 + 1} - 1)/(3 - 1) × (53^{1 + 1} - 1)/(53 - 1) = 648

What are the Pair Factors of 318?

The pair factors of 318 are (1, 318), (2, 159), (3, 106), (6, 53).

What is the Greatest Common Factor of 318 and 293?

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318 and the factors of 293 are 1, 293. 318 and 293 have only one common factor which is 1. This implies that 318 and 293 are co-prime.

Hence, the Greatest Common Factor (GCF) of 318 and 293 is 1.

How Many Factors of 318 are also common to the Factors of 273?

Since, the factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318 and the factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Hence, [1, 3] are the common factors of 318 and 273.

Math worksheets and
visual curriculum