Steps to find factors of 3969 that add upto 126

Example: Find factors of 3969 that add upto 126

  • Sum of 81 : 81 = 126

Hence, factors of 3969 that add upto 126 are 81.

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

How can we define factors?

In mathematics a factor is that number which divides into another completely, i.e. leaving 0 as a remainder. Or we can say, any numbers when multiplied together to give a product are termed as the factors of that obtained product. It can be both positive or 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 the common and smallest natural factor every number can have.
  • Every factor of a number is less than or equal to the number, eg. 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969 are all less than or equal to 3969.

Examples

How many factors are there for 3969?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
So there are in total 15 factors.

Raju wishes to write all the prime factors of 3969. Can you assist him in doing the same?

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.

Can you assist Aubrey in finding factors of 3969 that add upto 126?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Factors of 3969 that add upto 126 are 81, as 81 = 126.

Can you help Diji in finding sum of all even factors of 3969?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Even factors of 3969 are 0.
Hence, sum of even factors of 3969 is; 0 = 0.

Rustom is wondering to find the factors of 3969 that add upto 126, but is stuck. Assist Rustom in writing the same.

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Factors of 3969 that add upto 126 are 81, as 81 = 126.

What are the negative pair factors of 3969?

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).

Help Rudolph in finding the product of factors of 3969?

Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969.
Therefore, product of factors of 3969 is; 1 x 3 x 7 x 9 x 21 x 27 x 49 x 63 x 81 x 147 x 189 x 441 x 567 x 1323 x 3969 = 9.774808139711455e+26.