Factors of 1350 are the list of integers that we can split evenly into 1350. There are total 24 factors of 1350, of which 2, 3, 5 are its prime factors. The Prime Factorization of 1350 is 2¹ × 3³ × 5².

• All Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
• Prime Factors of 1350: 2, 3, 5
• Prime Factorization of 1350: 2¹ × 3³ × 5²
• Sum of Factors of 1350: 3720

1.	What Are the Factors of 1350?
2.	Factors of 1350 by Prime Factorization
3.	Factors of 1350 in Pairs
4.	FAQs on Factors of 1350

Factors of 1350 are pairs of those numbers whose products result in 1350. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1350?

To find the factors of 1350, we will have to find the list of numbers that would divide 1350 without leaving any remainder.

• 1350/45 = 30; therefore, 45 is a factor of 1350 and 30 is also a factor of 1350.
• 1350/15 = 90; therefore, 15 is a factor of 1350 and 90 is also a factor of 1350.

Similarly we can find other factors. Hence, the factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.

☛ Also Check:

• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The number 1350 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1350. The first step is to divide the number 1350 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1350 ÷ 2 = 675

Further dividing 675 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 675 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 1350 can be written as 2¹ × 3³ × 5² where 2, 3, 5 are prime.

Pair factors of 1350 are the pairs of numbers that when multiplied give the product 1350. The factors of 1350 in pairs are:

• 1 × 1350 = (1, 1350)
• 2 × 675 = (2, 675)
• 3 × 450 = (3, 450)
• 5 × 270 = (5, 270)
• 6 × 225 = (6, 225)
• 9 × 150 = (9, 150)
• 10 × 135 = (10, 135)
• 15 × 90 = (15, 90)
• 18 × 75 = (18, 75)
• 25 × 54 = (25, 54)
• 27 × 50 = (27, 50)
• 30 × 45 = (30, 45)

Negative pair factors of 1350 are:

• -1 × -1350 = (-1, -1350)
• -2 × -675 = (-2, -675)
• -3 × -450 = (-3, -450)
• -5 × -270 = (-5, -270)
• -6 × -225 = (-6, -225)
• -9 × -150 = (-9, -150)
• -10 × -135 = (-10, -135)
• -15 × -90 = (-15, -90)
• -18 × -75 = (-18, -75)
• -25 × -54 = (-25, -54)
• -27 × -50 = (-27, -50)
• -30 × -45 = (-30, -45)

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