Factors of 1764 are the list of integers that we can split evenly into 1764. There are overall 27 factors of 1764 among which 1764 is the biggest factor and its prime factors are 2, 3, 7. The Prime Factorization of 1764 is 2² × 3² × 7².

• All Factors of 1764: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882 and 1764
• Prime Factors of 1764: 2, 3, 7
• Prime Factorization of 1764: 2² × 3² × 7²
• Sum of Factors of 1764: 5187

1.	What Are the Factors of 1764?
2.	Factors of 1764 by Prime Factorization
3.	Factors of 1764 in Pairs
4.	FAQs on Factors of 1764

Factors of 1764 are pairs of those numbers whose products result in 1764. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1764?

To find the factors of 1764, we will have to find the list of numbers that would divide 1764 without leaving any remainder.

• 1764/6 = 294; therefore, 6 is a factor of 1764 and 294 is also a factor of 1764.
• 1764/4 = 441; therefore, 4 is a factor of 1764 and 441 is also a factor of 1764.

Similarly we can find other factors. Hence, the factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.

☛ Also Check:

• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The number 1764 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1764. The first step is to divide the number 1764 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1764 ÷ 2 = 882
• 882 ÷ 2 = 441

Further dividing 441 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 441 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 1764 can be written as 2² × 3² × 7² where 2, 3, 7 are prime.

Pair factors of 1764 are the pairs of numbers that when multiplied give the product 1764. The factors of 1764 in pairs are:

• 1 × 1764 = (1, 1764)
• 2 × 882 = (2, 882)
• 3 × 588 = (3, 588)
• 4 × 441 = (4, 441)
• 6 × 294 = (6, 294)
• 7 × 252 = (7, 252)
• 9 × 196 = (9, 196)
• 12 × 147 = (12, 147)
• 14 × 126 = (14, 126)
• 18 × 98 = (18, 98)
• 21 × 84 = (21, 84)
• 28 × 63 = (28, 63)
• 36 × 49 = (36, 49)
• 42 × 42 = (42, 42)

Negative pair factors of 1764 are:

• -1 × -1764 = (-1, -1764)
• -2 × -882 = (-2, -882)
• -3 × -588 = (-3, -588)
• -4 × -441 = (-4, -441)
• -6 × -294 = (-6, -294)
• -7 × -252 = (-7, -252)
• -9 × -196 = (-9, -196)
• -12 × -147 = (-12, -147)
• -14 × -126 = (-14, -126)
• -18 × -98 = (-18, -98)
• -21 × -84 = (-21, -84)
• -28 × -63 = (-28, -63)
• -36 × -49 = (-36, -49)
• -42 × -42 = (-42, -42)

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