Factors of 3969 in pair are (1, 3969) , (3, 1323) , (7, 567) , (9, 441) , (21, 189) , (27, 147) , (49, 81) and (63, 63)

How to find factors of a number in pair

Steps to find factors of 3969 in pair

Example: Find factors of 3969 in pair

Factor Pair Pair Factorization
1 and 3969 1 x 3969 = 3969
3 and 1323 3 x 1323 = 3969
7 and 567 7 x 567 = 3969
9 and 441 9 x 441 = 3969
21 and 189 21 x 189 = 3969
27 and 147 27 x 147 = 3969
49 and 81 49 x 81 = 3969
63 and 63 63 x 63 = 3969

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 3969. They are called negative pair factors.

Hence, the negative pairs of 3969 would be ( -1 , -3969 ) .

What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 3969 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 81 , 147 , 189 , 441 , 567 , 1323 , 3969. So, factors of 3969 in pair are (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63).

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

  • Every factor of a number is an exact divisor of that number, example 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969 are exact divisors of 3969.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 3969 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3969.

Steps to find Factors of 3969

  • Step 1. Find all the numbers that would divide 3969 without leaving any remainder. Starting with the number 1 upto 1984 (half of 3969). The number 1 and the number itself are always factors of the given number.
    3969 ÷ 1 : Remainder = 0
    3969 ÷ 3 : Remainder = 0
    3969 ÷ 7 : Remainder = 0
    3969 ÷ 9 : Remainder = 0
    3969 ÷ 21 : Remainder = 0
    3969 ÷ 27 : Remainder = 0
    3969 ÷ 49 : Remainder = 0
    3969 ÷ 63 : Remainder = 0
    3969 ÷ 81 : Remainder = 0
    3969 ÷ 147 : Remainder = 0
    3969 ÷ 189 : Remainder = 0
    3969 ÷ 441 : Remainder = 0
    3969 ÷ 567 : Remainder = 0
    3969 ÷ 1323 : Remainder = 0
    3969 ÷ 3969 : Remainder = 0

Hence, Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, and 3969

Frequently Asked Questions

  • Is 3969 a composite number?

    Yes 3969 is a composite number.

  • Is 3969 a perfect square?

    Yes 3969 is a perfect square.

  • Write all odd factors of 3969?

    The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
    Odd factors of 3969 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 81 , 147 , 189 , 441 , 567 , 1323 , 3969.

  • What is the mean of all prime factors of 3969?

    Factors of 3969 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 81 , 147 , 189 , 441 , 567 , 1323 , 3969. Prime factors of 3969 are 3 , 3 , 3 , 3 , 7 , 7. Therefore mean of prime factors of 3969 is (3 + 3 + 3 + 3 + 7 + 7) / 6 = 4.33.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

Examples of Factors

Can you help Rubel in arranging 3969 blocks in order to form a rectangle in all possible ways? For arranging 3969 blocks in order to form a rectangle in all possible ways we need to find factors of 3969 in pair.

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. So, factors of 3969 in pair are (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63).

How many total number of factors of 3969 in pair are possible?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. Hence, the factors of 3969 in pair are (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 3969 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3969 are -1, -3, -7, -9, -21, -27, -49, -63, -81, -147, -189, -441, -567, -1323, -3969. Hence, factors of 3969 in pair are (-1,-3969), (-3,-1323), (-7,-567), (-9,-441), (-21,-189), (-27,-147), (-49,-81), (-63,-63).

Find the product of all prime factors of 3969.

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. Prime factors are 3, 3, 3, 3, 7, 7. So, the product of all prime factors of 3969 would be 3 x 3 x 3 x 3 x 7 x 7 = 3969.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 3969.
- Writing all prime factors of 3969.
- Writing all the possible factors of 3969 in pair.
Help him in writing all these.

Positive factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Prime factors of 3969 are 3, 3, 3, 3, 7, 7.
Factors of 3969 in pair are (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63).

Can you help Sammy list the factors of 3969 and also find the factor pairs?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Factors of 3969 in pair are (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63).

Help Diji in finding factors of 3969 by Prime Factorization method and then sorting factors of 3969 in pairs.

Prime factorization of 3969 is 3 x 3 x 3 x 3 x 7 x 7. Factors of 3969 in pair can be written as (1,3969), (3,1323), (7,567), (9,441), (21,189), (27,147), (49,81), (63,63).

Write the smallest prime factor of 3969.

Smallest prime factor of 3969 is 3.