Steps to find Factors of 1225
- Step 1. Find all the numbers that would divide 1225 without leaving any remainder. Starting with the number 1 upto 612 (half of 1225). The number 1 and the number itself are always factors of the given number.
1225 ÷ 25 : Remainder = 0
1225 ÷ 35 : Remainder = 0
1225 ÷ 49 : Remainder = 0
1225 ÷ 175 : Remainder = 0
1225 ÷ 245 : Remainder = 0
1225 ÷ 1225 : Remainder = 0
Hence, Factors of
1225 are 1, 5, 7, 25, 35, 49, 175, 245, and 1225
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, 25, 35, 49, 175, 245, 1225 are exact divisors of 1225.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 1225 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, 25, 35, 49, 175, 245, 1225 are all less than or equal to 1225.
Examples
How many factors are there for 1225?Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.So there are in total 9 factors.
Raju wishes to write all the prime factors of 1225. Can you assist him in doing the same?Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.Prime factors of 1225 are 5, 5, 7, 7.
Can you assist Aubrey in finding factors of 1225 that add upto 69?Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.Factors of 1225 that add upto 69 are 49, as 49 = 69.
Can you help Diji in finding sum of all even factors of 1225?Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.Even factors of 1225 are 0.Hence, sum of even factors of 1225 is; 0 = 0.
Rustom is wondering to find the factors of 1225 that add upto 69, but is stuck. Assist Rustom in writing the same.Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.Factors of 1225 that add upto 69 are 49, as 49 = 69.
What are the negative pair factors of 1225?Negative factors of 1225 are -1, -5, -7, -25, -35, -49, -175, -245, -1225. Hence, factors of 1225 in pair are (-1,-1225), (-5,-245), (-7,-175), (-25,-49), (-35,-35).
Help Rudolph in finding the product of factors of 1225?Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.Therefore, product of factors of 1225 is; 1 x 5 x 7 x 25 x 35 x 49 x 175 x 245 x 1225 = 78815638671875.