Steps to find factors of 105 that add upto 38

Example: Find factors of 105 that add upto 38

  • Sum of 3 and 35 : 3 + 35 = 38

Hence, factors of 105 that add upto 38 are 3 and 35.

Steps to find Factors of 105

  • Step 1. Find all the numbers that would divide 105 without leaving any remainder. Starting with the number 1 upto 52 (half of 105). The number 1 and the number itself are always factors of the given number.
    105 ÷ 1 : Remainder = 0
    105 ÷ 3 : Remainder = 0
    105 ÷ 5 : Remainder = 0
    105 ÷ 7 : Remainder = 0
    105 ÷ 15 : Remainder = 0
    105 ÷ 21 : Remainder = 0
    105 ÷ 35 : Remainder = 0
    105 ÷ 105 : Remainder = 0

Hence, Factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105

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, 7, 15, 21, 35, 105 are exact divisors of 105.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 105 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, 7, 15, 21, 35, 105 are all less than or equal to 105.

Examples

How many factors are there for 105?

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
So there are in total 8 factors.

Raju wishes to write all the prime factors of 105. Can you assist him in doing the same?

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
Prime factors of 105 are 3, 5, 7.

Can you assist Aubrey in finding factors of 105 that add upto 38?

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
Factors of 105 that add upto 38 are 3, 35, as 3 + 35 = 38.

Can you help Diji in finding sum of all even factors of 105?

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
Even factors of 105 are 0.
Hence, sum of even factors of 105 is; 0 = 0.

Rustom is wondering to find the factors of 105 that add upto 38, but is stuck. Assist Rustom in writing the same.

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
Factors of 105 that add upto 38 are 3, 35, as 3 + 35 = 38.

What are the negative pair factors of 105?

Negative factors of 105 are -1, -3, -5, -7, -15, -21, -35, -105. Hence, factors of 105 in pair are (-1,-105), (-3,-35), (-5,-21), (-7,-15).

Help Rudolph in finding the product of factors of 105?

Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.
Therefore, product of factors of 105 is; 1 x 3 x 5 x 7 x 15 x 21 x 35 x 105 = 121550625.