Factors of 1140 are the list of integers that we can split evenly into 1140. It has total 24 factors of which 1140 is the biggest factor and the prime factors of 1140 are 2, 3, 5, 19. The Prime Factorization of 1140 is 2² × 3¹ × 5¹ × 19¹.

• All Factors of 1140: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
• Prime Factors of 1140: 2, 3, 5, 19
• Prime Factorization of 1140: 2² × 3¹ × 5¹ × 19¹
• Sum of Factors of 1140: 3360

1.	What Are the Factors of 1140?
2.	Factors of 1140 by Prime Factorization
3.	Factors of 1140 in Pairs
4.	FAQs on Factors of 1140

Factors of 1140 are pairs of those numbers whose products result in 1140. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1140?

To find the factors of 1140, we will have to find the list of numbers that would divide 1140 without leaving any remainder.

• 1140/38 = 30; therefore, 38 is a factor of 1140 and 30 is also a factor of 1140.
• 1140/6 = 190; therefore, 6 is a factor of 1140 and 190 is also a factor of 1140.

Similarly we can find other factors. Hence, the factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.

☛ Also Check:

• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 1140 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1140. The first step is to divide the number 1140 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1140 ÷ 2 = 570
• 570 ÷ 2 = 285

Further dividing 285 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 285 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 1140 can be written as 2² × 3¹ × 5¹ × 19¹ where 2, 3, 5, 19 are prime.

Pair factors of 1140 are the pairs of numbers that when multiplied give the product 1140. The factors of 1140 in pairs are:

• 1 × 1140 = (1, 1140)
• 2 × 570 = (2, 570)
• 3 × 380 = (3, 380)
• 4 × 285 = (4, 285)
• 5 × 228 = (5, 228)
• 6 × 190 = (6, 190)
• 10 × 114 = (10, 114)
• 12 × 95 = (12, 95)
• 15 × 76 = (15, 76)
• 19 × 60 = (19, 60)
• 20 × 57 = (20, 57)
• 30 × 38 = (30, 38)

Negative pair factors of 1140 are:

• -1 × -1140 = (-1, -1140)
• -2 × -570 = (-2, -570)
• -3 × -380 = (-3, -380)
• -4 × -285 = (-4, -285)
• -5 × -228 = (-5, -228)
• -6 × -190 = (-6, -190)
• -10 × -114 = (-10, -114)
• -12 × -95 = (-12, -95)
• -15 × -76 = (-15, -76)
• -19 × -60 = (-19, -60)
• -20 × -57 = (-20, -57)
• -30 × -38 = (-30, -38)

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