Factors of 3969 are the list of integers that we can split evenly into 3969. There are total 15 factors of 3969, of which 3, 7 are its prime factors. The Prime Factorization of 3969 is 3⁴ × 7².

• All Factors of 3969: 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323 and 3969
• Prime Factors of 3969: 3, 7
• Prime Factorization of 3969: 3⁴ × 7²
• Sum of Factors of 3969: 6897

1.	What Are the Factors of 3969?
2.	Factors of 3969 by Prime Factorization
3.	Factors of 3969 in Pairs
4.	FAQs on Factors of 3969

Factors of 3969 are pairs of those numbers whose products result in 3969. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3969?

To find the factors of 3969, we will have to find the list of numbers that would divide 3969 without leaving any remainder.

• 3969/81 = 49; therefore, 81 is a factor of 3969 and 49 is also a factor of 3969.
• 3969/21 = 189; therefore, 21 is a factor of 3969 and 189 is also a factor of 3969.

Similarly we can find other factors. Hence, the factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.

☛ Also Check:

• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 8 - The factors of 8 are 1, 2, 4, 8

The number 3969 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3969. The first step is to divide the number 3969 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 3969 ÷ 3 = 1323
• 1323 ÷ 3 = 441
• 441 ÷ 3 = 147
• 147 ÷ 3 = 49

Further dividing 49 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 49 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 3969 can be written as 3⁴ × 7² where 3, 7 are prime.

Pair factors of 3969 are the pairs of numbers that when multiplied give the product 3969. The factors of 3969 in pairs are:

• 1 × 3969 = (1, 3969)
• 3 × 1323 = (3, 1323)
• 7 × 567 = (7, 567)
• 9 × 441 = (9, 441)
• 21 × 189 = (21, 189)
• 27 × 147 = (27, 147)
• 49 × 81 = (49, 81)
• 63 × 63 = (63, 63)

Negative pair factors of 3969 are:

• -1 × -3969 = (-1, -3969)
• -3 × -1323 = (-3, -1323)
• -7 × -567 = (-7, -567)
• -9 × -441 = (-9, -441)
• -21 × -189 = (-21, -189)
• -27 × -147 = (-27, -147)
• -49 × -81 = (-49, -81)
• -63 × -63 = (-63, -63)

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