Steps to find factors of 189 that add upto 12

Example: Find factors of 189 that add upto 12

  • Sum of 3 and 9 : 3 + 9 = 12

Hence, factors of 189 that add upto 12 are 3 and 9.

Steps to find Factors of 189

  • Step 1. Find all the numbers that would divide 189 without leaving any remainder. Starting with the number 1 upto 94 (half of 189). The number 1 and the number itself are always factors of the given number.
    189 ÷ 1 : Remainder = 0
    189 ÷ 3 : Remainder = 0
    189 ÷ 7 : Remainder = 0
    189 ÷ 9 : Remainder = 0
    189 ÷ 21 : Remainder = 0
    189 ÷ 27 : Remainder = 0
    189 ÷ 63 : Remainder = 0
    189 ÷ 189 : Remainder = 0

Hence, Factors of 189 are 1, 3, 7, 9, 21, 27, 63, and 189

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, 63, 189 are exact divisors of 189.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 189 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, 63, 189 are all less than or equal to 189.

Examples

How many factors are there for 189?

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
So there are in total 8 factors.

Raju wishes to write all the prime factors of 189. Can you assist him in doing the same?

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Prime factors of 189 are 3, 3, 3, 7.

Can you assist Aubrey in finding factors of 189 that add upto 12?

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Factors of 189 that add upto 12 are 3, 9, as 3 + 9 = 12.

Can you help Diji in finding sum of all even factors of 189?

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Even factors of 189 are 0.
Hence, sum of even factors of 189 is; 0 = 0.

Rustom is wondering to find the factors of 189 that add upto 12, but is stuck. Assist Rustom in writing the same.

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Factors of 189 that add upto 12 are 3, 9, as 3 + 9 = 12.

What are the negative pair factors of 189?

Negative factors of 189 are -1, -3, -7, -9, -21, -27, -63, -189. Hence, factors of 189 in pair are (-1,-189), (-3,-63), (-7,-27), (-9,-21).

Help Rudolph in finding the product of factors of 189?

Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Therefore, product of factors of 189 is; 1 x 3 x 7 x 9 x 21 x 27 x 63 x 189 = 1275989841.