Steps to find factors of 245 that add upto 70

Example: Find factors of 245 that add upto 70

  • Sum of 49 : 49 = 70

Hence, factors of 245 that add upto 70 are 49.

Steps to find Factors of 245

  • Step 1. Find all the numbers that would divide 245 without leaving any remainder. Starting with the number 1 upto 122 (half of 245). The number 1 and the number itself are always factors of the given number.
    245 ÷ 1 : Remainder = 0
    245 ÷ 5 : Remainder = 0
    245 ÷ 7 : Remainder = 0
    245 ÷ 35 : Remainder = 0
    245 ÷ 49 : Remainder = 0
    245 ÷ 245 : Remainder = 0

Hence, Factors of 245 are 1, 5, 7, 35, 49, and 245

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, 5, 7, 35, 49, 245 are exact divisors of 245.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 245 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, 5, 7, 35, 49, 245 are all less than or equal to 245.

Examples

How many factors are there for 245?

Factors of 245 are 1, 5, 7, 35, 49, 245.
So there are in total 6 factors.

Raju wishes to write all the prime factors of 245. Can you assist him in doing the same?

Factors of 245 are 1, 5, 7, 35, 49, 245.
Prime factors of 245 are 5, 7, 7.

Can you assist Aubrey in finding factors of 245 that add upto 70?

Factors of 245 are 1, 5, 7, 35, 49, 245.
Factors of 245 that add upto 70 are 49, as 49 = 70.

Can you help Diji in finding sum of all even factors of 245?

Factors of 245 are 1, 5, 7, 35, 49, 245.
Even factors of 245 are 0.
Hence, sum of even factors of 245 is; 0 = 0.

Rustom is wondering to find the factors of 245 that add upto 70, but is stuck. Assist Rustom in writing the same.

Factors of 245 are 1, 5, 7, 35, 49, 245.
Factors of 245 that add upto 70 are 49, as 49 = 70.

What are the negative pair factors of 245?

Negative factors of 245 are -1, -5, -7, -35, -49, -245. Hence, factors of 245 in pair are (-1,-245), (-5,-49), (-7,-35).

Help Rudolph in finding the product of factors of 245?

Factors of 245 are 1, 5, 7, 35, 49, 245.
Therefore, product of factors of 245 is; 1 x 5 x 7 x 35 x 49 x 245 = 14706125.