Steps to find factors of 441 that add upto 49

Example: Find factors of 441 that add upto 49

  • Sum of 49 : 49 = 49

Hence, factors of 441 that add upto 49 are 49.

Steps to find Factors of 441

  • Step 1. Find all the numbers that would divide 441 without leaving any remainder. Starting with the number 1 upto 220 (half of 441). The number 1 and the number itself are always factors of the given number.
    441 ÷ 1 : Remainder = 0
    441 ÷ 3 : Remainder = 0
    441 ÷ 7 : Remainder = 0
    441 ÷ 9 : Remainder = 0
    441 ÷ 21 : Remainder = 0
    441 ÷ 49 : Remainder = 0
    441 ÷ 63 : Remainder = 0
    441 ÷ 147 : Remainder = 0
    441 ÷ 441 : Remainder = 0

Hence, Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, and 441

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, 49, 63, 147, 441 are exact divisors of 441.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 441 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, 49, 63, 147, 441 are all less than or equal to 441.

Examples

How many factors are there for 441?

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
So there are in total 9 factors.

Raju wishes to write all the prime factors of 441. Can you assist him in doing the same?

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
Prime factors of 441 are 3, 3, 7, 7.

Can you assist Aubrey in finding factors of 441 that add upto 49?

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
Factors of 441 that add upto 49 are 49, as 49 = 49.

Can you help Diji in finding sum of all even factors of 441?

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
Even factors of 441 are 0.
Hence, sum of even factors of 441 is; 0 = 0.

Rustom is wondering to find the factors of 441 that add upto 49, but is stuck. Assist Rustom in writing the same.

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
Factors of 441 that add upto 49 are 49, as 49 = 49.

What are the negative pair factors of 441?

Negative factors of 441 are -1, -3, -7, -9, -21, -49, -63, -147, -441. Hence, factors of 441 in pair are (-1,-441), (-3,-147), (-7,-63), (-9,-49), (-21,-21).

Help Rudolph in finding the product of factors of 441?

Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441.
Therefore, product of factors of 441 is; 1 x 3 x 7 x 9 x 21 x 49 x 63 x 147 x 441 = 794280046581.