Factors of 1344 are the list of integers that can be evenly divided into 1344. It has total 28 factors of which 1344 is the biggest factor and the prime factors of 1344 are 2, 3, 7. The Prime Factorization of 1344 is 2⁶ × 3¹ × 7¹.

• All Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
• Prime Factors of 1344: 2, 3, 7
• Prime Factorization of 1344: 2⁶ × 3¹ × 7¹
• Sum of Factors of 1344: 4064

1.	What Are the Factors of 1344?
2.	Factors of 1344 by Prime Factorization
3.	Factors of 1344 in Pairs
4.	FAQs on Factors of 1344

Factors of 1344 are pairs of those numbers whose products result in 1344. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1344?

To find the factors of 1344, we will have to find the list of numbers that would divide 1344 without leaving any remainder.

• 1344/28 = 48; therefore, 28 is a factor of 1344 and 48 is also a factor of 1344.
• 1344/112 = 12; therefore, 112 is a factor of 1344 and 12 is also a factor of 1344.

Similarly we can find other factors. Hence, the factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.

☛ Also Check:

• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 4 - The factors of 4 are 1, 2, 4

The number 1344 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1344. The first step is to divide the number 1344 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1344 ÷ 2 = 672
• 672 ÷ 2 = 336
• 336 ÷ 2 = 168
• 168 ÷ 2 = 84
• 84 ÷ 2 = 42
• 42 ÷ 2 = 21

Further dividing 21 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 21 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 1344 can be written as 2⁶ × 3¹ × 7¹ where 2, 3, 7 are prime.

Pair factors of 1344 are the pairs of numbers that when multiplied give the product 1344. The factors of 1344 in pairs are:

• 1 × 1344 = (1, 1344)
• 2 × 672 = (2, 672)
• 3 × 448 = (3, 448)
• 4 × 336 = (4, 336)
• 6 × 224 = (6, 224)
• 7 × 192 = (7, 192)
• 8 × 168 = (8, 168)
• 12 × 112 = (12, 112)
• 14 × 96 = (14, 96)
• 16 × 84 = (16, 84)
• 21 × 64 = (21, 64)
• 24 × 56 = (24, 56)
• 28 × 48 = (28, 48)
• 32 × 42 = (32, 42)

Negative pair factors of 1344 are:

• -1 × -1344 = (-1, -1344)
• -2 × -672 = (-2, -672)
• -3 × -448 = (-3, -448)
• -4 × -336 = (-4, -336)
• -6 × -224 = (-6, -224)
• -7 × -192 = (-7, -192)
• -8 × -168 = (-8, -168)
• -12 × -112 = (-12, -112)
• -14 × -96 = (-14, -96)
• -16 × -84 = (-16, -84)
• -21 × -64 = (-21, -64)
• -24 × -56 = (-24, -56)
• -28 × -48 = (-28, -48)
• -32 × -42 = (-32, -42)

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