Factors of 2240 are numbers that, when multiplied in pairs give the product as 2240. There are overall 28 factors of 2240, of which 2, 5, 7 are its prime factors. The Prime Factorization of 2240 is 2⁶ × 5¹ × 7¹.

• All Factors of 2240: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
• Prime Factors of 2240: 2, 5, 7
• Prime Factorization of 2240: 2⁶ × 5¹ × 7¹
• Sum of Factors of 2240: 6096

1.	What Are the Factors of 2240?
2.	Factors of 2240 by Prime Factorization
3.	Factors of 2240 in Pairs
4.	FAQs on Factors of 2240

Factors of 2240 are pairs of those numbers whose products result in 2240. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2240?

To find the factors of 2240, we will have to find the list of numbers that would divide 2240 without leaving any remainder.

• 2240/80 = 28; therefore, 80 is a factor of 2240 and 28 is also a factor of 2240.
• 2240/112 = 20; therefore, 112 is a factor of 2240 and 20 is also a factor of 2240.

Similarly we can find other factors. Hence, the factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240.

☛ Also Check:

• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 2240 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2240. The first step is to divide the number 2240 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2240 ÷ 2 = 1120
• 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 2240 can be written as 2⁶ × 5¹ × 7¹ where 2, 5, 7 are prime.

Pair factors of 2240 are the pairs of numbers that when multiplied give the product 2240. The factors of 2240 in pairs are:

• 1 × 2240 = (1, 2240)
• 2 × 1120 = (2, 1120)
• 4 × 560 = (4, 560)
• 5 × 448 = (5, 448)
• 7 × 320 = (7, 320)
• 8 × 280 = (8, 280)
• 10 × 224 = (10, 224)
• 14 × 160 = (14, 160)
• 16 × 140 = (16, 140)
• 20 × 112 = (20, 112)
• 28 × 80 = (28, 80)
• 32 × 70 = (32, 70)
• 35 × 64 = (35, 64)
• 40 × 56 = (40, 56)

Negative pair factors of 2240 are:

• -1 × -2240 = (-1, -2240)
• -2 × -1120 = (-2, -1120)
• -4 × -560 = (-4, -560)
• -5 × -448 = (-5, -448)
• -7 × -320 = (-7, -320)
• -8 × -280 = (-8, -280)
• -10 × -224 = (-10, -224)
• -14 × -160 = (-14, -160)
• -16 × -140 = (-16, -140)
• -20 × -112 = (-20, -112)
• -28 × -80 = (-28, -80)
• -32 × -70 = (-32, -70)
• -35 × -64 = (-35, -64)
• -40 × -56 = (-40, -56)

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