Steps to find factors of 45 that add upto 14

Example: Find factors of 45 that add upto 14

  • Sum of 5 and 9 : 5 + 9 = 14

Hence, factors of 45 that add upto 14 are 5 and 9.

Steps to find Factors of 45

  • Step 1. Find all the numbers that would divide 45 without leaving any remainder. Starting with the number 1 upto 22 (half of 45). The number 1 and the number itself are always factors of the given number.
    45 ÷ 1 : Remainder = 0
    45 ÷ 3 : Remainder = 0
    45 ÷ 5 : Remainder = 0
    45 ÷ 9 : Remainder = 0
    45 ÷ 15 : Remainder = 0
    45 ÷ 45 : Remainder = 0

Hence, Factors of 45 are 1, 3, 5, 9, 15, and 45

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, 5, 9, 15, 45 are exact divisors of 45.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 45 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, 5, 9, 15, 45 are all less than or equal to 45.

Examples

How many factors are there for 45?

Factors of 45 are 1, 3, 5, 9, 15, 45.
So there are in total 6 factors.

Raju wishes to write all the prime factors of 45. Can you assist him in doing the same?

Factors of 45 are 1, 3, 5, 9, 15, 45.
Prime factors of 45 are 3, 3, 5.

Rustom is wondering to find the factors of 45 that add upto 14, but is stuck. Assist Rustom in writing the same.

Factors of 45 are 1, 3, 5, 9, 15, 45.
Factors of 45 that add upto 14 are 5, 9, as 5 + 9 = 14.

Help Andy in writing even prime factors of 45.

Factors of 45 are 1, 3, 5, 9, 15, 45.
Even factors of 45 are 0.

What is the largest factors of 45?

Factors of 45 are 1, 3, 5, 9, 15, 45. Largest factor f 45 is 45.

Sammy is puzzled while calculating the prime factors of 45. Can you help him find them?

Factors of 45 are 1, 3, 5, 9, 15, 45.
Prime factors of 45 are 3, 3, 5

Help Ashi in writing the negative pair factors of 45?

Negative factors of 45 are -1, -3, -5, -9, -15, -45. Hence, factors of 45 in pair are (-1,-45), (-3,-15), (-5,-9).