Steps to find factors of 525 that add upto 20

Example: Find factors of 525 that add upto 20

  • Sum of 5 and 15 : 5 + 15 = 20

Hence, factors of 525 that add upto 20 are 5 and 15.

Steps to find Factors of 525

  • Step 1. Find all the numbers that would divide 525 without leaving any remainder. Starting with the number 1 upto 262 (half of 525). The number 1 and the number itself are always factors of the given number.
    525 ÷ 1 : Remainder = 0
    525 ÷ 3 : Remainder = 0
    525 ÷ 5 : Remainder = 0
    525 ÷ 7 : Remainder = 0
    525 ÷ 15 : Remainder = 0
    525 ÷ 21 : Remainder = 0
    525 ÷ 25 : Remainder = 0
    525 ÷ 35 : Remainder = 0
    525 ÷ 75 : Remainder = 0
    525 ÷ 105 : Remainder = 0
    525 ÷ 175 : Remainder = 0
    525 ÷ 525 : Remainder = 0

Hence, Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, and 525

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, 25, 35, 75, 105, 175, 525 are exact divisors of 525.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 525 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, 25, 35, 75, 105, 175, 525 are all less than or equal to 525.

Examples

How many factors are there for 525?

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 525. Can you assist him in doing the same?

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Prime factors of 525 are 3, 5, 5, 7.

Can you assist Aubrey in finding factors of 525 that add upto 20?

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Factors of 525 that add upto 20 are 5, 15, as 5 + 15 = 20.

Can you help Diji in finding sum of all even factors of 525?

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Even factors of 525 are 0.
Hence, sum of even factors of 525 is; 0 = 0.

Rustom is wondering to find the factors of 525 that add upto 20, but is stuck. Assist Rustom in writing the same.

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Factors of 525 that add upto 20 are 5, 15, as 5 + 15 = 20.

What are the negative pair factors of 525?

Negative factors of 525 are -1, -3, -5, -7, -15, -21, -25, -35, -75, -105, -175, -525. Hence, factors of 525 in pair are (-1,-525), (-3,-175), (-5,-105), (-7,-75), (-15,-35), (-21,-25).

Help Rudolph in finding the product of factors of 525?

Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Therefore, product of factors of 525 is; 1 x 3 x 5 x 7 x 15 x 21 x 25 x 35 x 75 x 105 x 175 x 525 = 20938994384765624.