Factors of 1440 are integers that can be divided evenly into 1440. It has total 36 factors of which 1440 is the biggest factor and the prime factors of 1440 are 2, 3, 5. The Prime Factorization of 1440 is 2⁵ × 3² × 5¹.

• All Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
• Prime Factors of 1440: 2, 3, 5
• Prime Factorization of 1440: 2⁵ × 3² × 5¹
• Sum of Factors of 1440: 4914

1.	What Are the Factors of 1440?
2.	Factors of 1440 by Prime Factorization
3.	Factors of 1440 in Pairs
4.	FAQs on Factors of 1440

Factors of 1440 are pairs of those numbers whose products result in 1440. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1440?

To find the factors of 1440, we will have to find the list of numbers that would divide 1440 without leaving any remainder.

• 1440/4 = 360; therefore, 4 is a factor of 1440 and 360 is also a factor of 1440.
• 1440/40 = 36; therefore, 40 is a factor of 1440 and 36 is also a factor of 1440.

Similarly we can find other factors. Hence, the factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.

☛ Also Check:

• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The number 1440 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1440. The first step is to divide the number 1440 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1440 ÷ 2 = 720
• 720 ÷ 2 = 360
• 360 ÷ 2 = 180
• 180 ÷ 2 = 90
• 90 ÷ 2 = 45

Further dividing 45 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 45 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 1440 can be written as 2⁵ × 3² × 5¹ where 2, 3, 5 are prime.

Pair factors of 1440 are the pairs of numbers that when multiplied give the product 1440. The factors of 1440 in pairs are:

• 1 × 1440 = (1, 1440)
• 2 × 720 = (2, 720)
• 3 × 480 = (3, 480)
• 4 × 360 = (4, 360)
• 5 × 288 = (5, 288)
• 6 × 240 = (6, 240)
• 8 × 180 = (8, 180)
• 9 × 160 = (9, 160)
• 10 × 144 = (10, 144)
• 12 × 120 = (12, 120)
• 15 × 96 = (15, 96)
• 16 × 90 = (16, 90)
• 18 × 80 = (18, 80)
• 20 × 72 = (20, 72)
• 24 × 60 = (24, 60)
• 30 × 48 = (30, 48)
• 32 × 45 = (32, 45)
• 36 × 40 = (36, 40)

Negative pair factors of 1440 are:

• -1 × -1440 = (-1, -1440)
• -2 × -720 = (-2, -720)
• -3 × -480 = (-3, -480)
• -4 × -360 = (-4, -360)
• -5 × -288 = (-5, -288)
• -6 × -240 = (-6, -240)
• -8 × -180 = (-8, -180)
• -9 × -160 = (-9, -160)
• -10 × -144 = (-10, -144)
• -12 × -120 = (-12, -120)
• -15 × -96 = (-15, -96)
• -16 × -90 = (-16, -90)
• -18 × -80 = (-18, -80)
• -20 × -72 = (-20, -72)
• -24 × -60 = (-24, -60)
• -30 × -48 = (-30, -48)
• -32 × -45 = (-32, -45)
• -36 × -40 = (-36, -40)

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