Factors of 1120 are numbers that, when multiplied in pairs give the product as 1120. There are overall 24 factors of 1120 among which 1120 is the biggest factor and its prime factors are 2, 5, 7. The sum of all factors of 1120 is 3024.

• All Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
• Prime Factors of 1120: 2, 5, 7
• Prime Factorization of 1120: 2⁵ × 5¹ × 7¹
• Sum of Factors of 1120: 3024

1.	What Are the Factors of 1120?
2.	Factors of 1120 by Prime Factorization
3.	Factors of 1120 in Pairs
4.	FAQs on Factors of 1120

Factors of 1120 are pairs of those numbers whose products result in 1120. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1120?

To find the factors of 1120, we will have to find the list of numbers that would divide 1120 without leaving any remainder.

• 1120/32 = 35; therefore, 32 is a factor of 1120 and 35 is also a factor of 1120.
• 1120/5 = 224; therefore, 5 is a factor of 1120 and 224 is also a factor of 1120.

Similarly we can find other factors. Hence, the factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120.

☛ Also Check:

• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 5 - The factors of 5 are 1, 5
• 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 13 - The factors of 13 are 1, 13

The number 1120 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1120. The first step is to divide the number 1120 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1120 ÷ 2 = 560
• 560 ÷ 2 = 280
• 280 ÷ 2 = 140
• 140 ÷ 2 = 70
• 70 ÷ 2 = 35

Further dividing 35 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 35 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 1120 can be written as 2⁵ × 5¹ × 7¹ where 2, 5, 7 are prime.

Pair factors of 1120 are the pairs of numbers that when multiplied give the product 1120. The factors of 1120 in pairs are:

• 1 × 1120 = (1, 1120)
• 2 × 560 = (2, 560)
• 4 × 280 = (4, 280)
• 5 × 224 = (5, 224)
• 7 × 160 = (7, 160)
• 8 × 140 = (8, 140)
• 10 × 112 = (10, 112)
• 14 × 80 = (14, 80)
• 16 × 70 = (16, 70)
• 20 × 56 = (20, 56)
• 28 × 40 = (28, 40)
• 32 × 35 = (32, 35)

Negative pair factors of 1120 are:

• -1 × -1120 = (-1, -1120)
• -2 × -560 = (-2, -560)
• -4 × -280 = (-4, -280)
• -5 × -224 = (-5, -224)
• -7 × -160 = (-7, -160)
• -8 × -140 = (-8, -140)
• -10 × -112 = (-10, -112)
• -14 × -80 = (-14, -80)
• -16 × -70 = (-16, -70)
• -20 × -56 = (-20, -56)
• -28 × -40 = (-28, -40)
• -32 × -35 = (-32, -35)

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