Factors of 1380 are the list of integers that we can split evenly into 1380. There are overall 24 factors of 1380, of which 2, 3, 5, 23 are its prime factors. The sum of all factors of 1380 is 4032.

• All Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
• Prime Factors of 1380: 2, 3, 5, 23
• Prime Factorization of 1380: 2² × 3¹ × 5¹ × 23¹
• Sum of Factors of 1380: 4032

1.	What Are the Factors of 1380?
2.	Factors of 1380 by Prime Factorization
3.	Factors of 1380 in Pairs
4.	FAQs on Factors of 1380

Factors of 1380 are pairs of those numbers whose products result in 1380. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1380?

To find the factors of 1380, we will have to find the list of numbers that would divide 1380 without leaving any remainder.

• 1380/138 = 10; therefore, 138 is a factor of 1380 and 10 is also a factor of 1380.
• 1380/460 = 3; therefore, 460 is a factor of 1380 and 3 is also a factor of 1380.

Similarly we can find other factors. Hence, the factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.

☛ Also Check:

• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 35 - The factors of 35 are 1, 5, 7, 35

The number 1380 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1380. The first step is to divide the number 1380 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1380 ÷ 2 = 690
• 690 ÷ 2 = 345

Further dividing 345 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 345 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 1380 can be written as 2² × 3¹ × 5¹ × 23¹ where 2, 3, 5, 23 are prime.

Pair factors of 1380 are the pairs of numbers that when multiplied give the product 1380. The factors of 1380 in pairs are:

• 1 × 1380 = (1, 1380)
• 2 × 690 = (2, 690)
• 3 × 460 = (3, 460)
• 4 × 345 = (4, 345)
• 5 × 276 = (5, 276)
• 6 × 230 = (6, 230)
• 10 × 138 = (10, 138)
• 12 × 115 = (12, 115)
• 15 × 92 = (15, 92)
• 20 × 69 = (20, 69)
• 23 × 60 = (23, 60)
• 30 × 46 = (30, 46)

Negative pair factors of 1380 are:

• -1 × -1380 = (-1, -1380)
• -2 × -690 = (-2, -690)
• -3 × -460 = (-3, -460)
• -4 × -345 = (-4, -345)
• -5 × -276 = (-5, -276)
• -6 × -230 = (-6, -230)
• -10 × -138 = (-10, -138)
• -12 × -115 = (-12, -115)
• -15 × -92 = (-15, -92)
• -20 × -69 = (-20, -69)
• -23 × -60 = (-23, -60)
• -30 × -46 = (-30, -46)

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