Factors of 1356 are numbers that, when multiplied in pairs give the product as 1356. There are overall 12 factors of 1356 among which 1356 is the biggest factor and 2, 3, 113 are its prime factors. The Prime Factorization of 1356 is 2² × 3¹ × 113¹.

• All Factors of 1356: 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678 and 1356
• Prime Factors of 1356: 2, 3, 113
• Prime Factorization of 1356: 2² × 3¹ × 113¹
• Sum of Factors of 1356: 3192

1.	What Are the Factors of 1356?
2.	Factors of 1356 by Prime Factorization
3.	Factors of 1356 in Pairs
4.	FAQs on Factors of 1356

Factors of 1356 are pairs of those numbers whose products result in 1356. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1356?

To find the factors of 1356, we will have to find the list of numbers that would divide 1356 without leaving any remainder.

• 1356/113 = 12; therefore, 113 is a factor of 1356 and 12 is also a factor of 1356.
• 1356/339 = 4; therefore, 339 is a factor of 1356 and 4 is also a factor of 1356.

Similarly we can find other factors. Hence, the factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The number 1356 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1356. The first step is to divide the number 1356 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1356 ÷ 2 = 678
• 678 ÷ 2 = 339

Further dividing 339 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 339 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 1356 can be written as 2² × 3¹ × 113¹ where 2, 3, 113 are prime.

Pair factors of 1356 are the pairs of numbers that when multiplied give the product 1356. The factors of 1356 in pairs are:

• 1 × 1356 = (1, 1356)
• 2 × 678 = (2, 678)
• 3 × 452 = (3, 452)
• 4 × 339 = (4, 339)
• 6 × 226 = (6, 226)
• 12 × 113 = (12, 113)

Negative pair factors of 1356 are:

• -1 × -1356 = (-1, -1356)
• -2 × -678 = (-2, -678)
• -3 × -452 = (-3, -452)
• -4 × -339 = (-4, -339)
• -6 × -226 = (-6, -226)
• -12 × -113 = (-12, -113)

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