Factors of 1944 are numbers that, when multiplied in pairs give the product as 1944. There are overall 24 factors of 1944, of which 2, 3 are its prime factors. The Prime Factorization of 1944 is 2³ × 3⁵.

• All Factors of 1944: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972 and 1944
• Prime Factors of 1944: 2, 3
• Prime Factorization of 1944: 2³ × 3⁵
• Sum of Factors of 1944: 5460

1.	What Are the Factors of 1944?
2.	Factors of 1944 by Prime Factorization
3.	Factors of 1944 in Pairs
4.	FAQs on Factors of 1944

Factors of 1944 are pairs of those numbers whose products result in 1944. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1944?

To find the factors of 1944, we will have to find the list of numbers that would divide 1944 without leaving any remainder.

• 1944/162 = 12; therefore, 162 is a factor of 1944 and 12 is also a factor of 1944.
• 1944/3 = 648; therefore, 3 is a factor of 1944 and 648 is also a factor of 1944.

Similarly we can find other factors. Hence, the factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944.

☛ Also Check:

• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 125 - The factors of 125 are 1, 5, 25, 125

The number 1944 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1944. The first step is to divide the number 1944 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1944 ÷ 2 = 972
• 972 ÷ 2 = 486
• 486 ÷ 2 = 243

Further dividing 243 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 243 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 1944 can be written as 2³ × 3⁵ where 2, 3 are prime.

Pair factors of 1944 are the pairs of numbers that when multiplied give the product 1944. The factors of 1944 in pairs are:

• 1 × 1944 = (1, 1944)
• 2 × 972 = (2, 972)
• 3 × 648 = (3, 648)
• 4 × 486 = (4, 486)
• 6 × 324 = (6, 324)
• 8 × 243 = (8, 243)
• 9 × 216 = (9, 216)
• 12 × 162 = (12, 162)
• 18 × 108 = (18, 108)
• 24 × 81 = (24, 81)
• 27 × 72 = (27, 72)
• 36 × 54 = (36, 54)

Negative pair factors of 1944 are:

• -1 × -1944 = (-1, -1944)
• -2 × -972 = (-2, -972)
• -3 × -648 = (-3, -648)
• -4 × -486 = (-4, -486)
• -6 × -324 = (-6, -324)
• -8 × -243 = (-8, -243)
• -9 × -216 = (-9, -216)
• -12 × -162 = (-12, -162)
• -18 × -108 = (-18, -108)
• -24 × -81 = (-24, -81)
• -27 × -72 = (-27, -72)
• -36 × -54 = (-36, -54)

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