Steps to find factors of 49 that add upto 14

Example: Find factors of 49 that add upto 14

  • Sum of 7 : 7 = 14

Hence, factors of 49 that add upto 14 are 7.

Steps to find Factors of 49

  • Step 1. Find all the numbers that would divide 49 without leaving any remainder. Starting with the number 1 upto 24 (half of 49). The number 1 and the number itself are always factors of the given number.
    49 ÷ 1 : Remainder = 0
    49 ÷ 7 : Remainder = 0
    49 ÷ 49 : Remainder = 0

Hence, Factors of 49 are 1, 7, and 49

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, 7, 49 are exact divisors of 49.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 49 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, 7, 49 are all less than or equal to 49.

Examples

How many factors are there for 49?

Factors of 49 are 1, 7, 49.
So there are in total 3 factors.

Raju wishes to write all the prime factors of 49. Can you assist him in doing the same?

Factors of 49 are 1, 7, 49.
Prime factors of 49 are 7, 7.

Can you assist Aubrey in finding factors of 49 that add upto 14?

Factors of 49 are 1, 7, 49.
Factors of 49 that add upto 14 are 7, as 7 = 14.

Can you help Diji in finding sum of all even factors of 49?

Factors of 49 are 1, 7, 49.
Even factors of 49 are 0.
Hence, sum of even factors of 49 is; 0 = 0.

Rustom is wondering to find the factors of 49 that add upto 14, but is stuck. Assist Rustom in writing the same.

Factors of 49 are 1, 7, 49.
Factors of 49 that add upto 14 are 7, as 7 = 14.

What are the negative pair factors of 49?

Negative factors of 49 are -1, -7, -49. Hence, factors of 49 in pair are (-1,-49), (-7,-7).

Help Rudolph in finding the product of factors of 49?

Factors of 49 are 1, 7, 49.
Therefore, product of factors of 49 is; 1 x 7 x 49 = 343.