Factors of 1200 are the list of integers that we can split evenly into 1200. There are 30 factors of 1200 of which 1200 itself is the biggest factor and its prime factors are 2, 3, 5 The Prime Factorization of 1200 is 2⁴ × 3¹ × 5².

• All Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
• Prime Factors of 1200: 2, 3, 5
• Prime Factorization of 1200: 2⁴ × 3¹ × 5²
• Sum of Factors of 1200: 3844

1.	What Are the Factors of 1200?
2.	Factors of 1200 by Prime Factorization
3.	Factors of 1200 in Pairs
4.	FAQs on Factors of 1200

Factors of 1200 are pairs of those numbers whose products result in 1200. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1200?

To find the factors of 1200, we will have to find the list of numbers that would divide 1200 without leaving any remainder.

• 1200/150 = 8; therefore, 150 is a factor of 1200 and 8 is also a factor of 1200.
• 1200/400 = 3; therefore, 400 is a factor of 1200 and 3 is also a factor of 1200.

Similarly we can find other factors. Hence, the factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200.

☛ Also Check:

• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 23 - The factors of 23 are 1, 23

The number 1200 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1200. The first step is to divide the number 1200 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1200 ÷ 2 = 600
• 600 ÷ 2 = 300
• 300 ÷ 2 = 150
• 150 ÷ 2 = 75

Further dividing 75 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 75 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 1200 can be written as 2⁴ × 3¹ × 5² where 2, 3, 5 are prime.

Pair factors of 1200 are the pairs of numbers that when multiplied give the product 1200. The factors of 1200 in pairs are:

• 1 × 1200 = (1, 1200)
• 2 × 600 = (2, 600)
• 3 × 400 = (3, 400)
• 4 × 300 = (4, 300)
• 5 × 240 = (5, 240)
• 6 × 200 = (6, 200)
• 8 × 150 = (8, 150)
• 10 × 120 = (10, 120)
• 12 × 100 = (12, 100)
• 15 × 80 = (15, 80)
• 16 × 75 = (16, 75)
• 20 × 60 = (20, 60)
• 24 × 50 = (24, 50)
• 25 × 48 = (25, 48)
• 30 × 40 = (30, 40)

Negative pair factors of 1200 are:

• -1 × -1200 = (-1, -1200)
• -2 × -600 = (-2, -600)
• -3 × -400 = (-3, -400)
• -4 × -300 = (-4, -300)
• -5 × -240 = (-5, -240)
• -6 × -200 = (-6, -200)
• -8 × -150 = (-8, -150)
• -10 × -120 = (-10, -120)
• -12 × -100 = (-12, -100)
• -15 × -80 = (-15, -80)
• -16 × -75 = (-16, -75)
• -20 × -60 = (-20, -60)
• -24 × -50 = (-24, -50)
• -25 × -48 = (-25, -48)
• -30 × -40 = (-30, -40)

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