Factors of 1225

Similarly, as we learned above, factors of 1225 are such numbers that will be multiplied to get 1225. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.

1225 has only 9 factors: 1, 5, 7, 25, 35, 49, 175, 245 and 1225.

Negative factors of 1225: Negative factors are nothing but the negative counterparts of the position factors of a number.

Since 1225 has 9 positive factors:  1, 5, 7, 25, 35, 49, 175, 245, and 1225, it will also have 9 negative counterparts, which are -1, -5,  -7, -25, -35, -49, -175, -245 and -1225.

Prime factors of 1225: Since 1225 is a composite number, it will have 5 and 7 as its prime factors.

Prime factorization of 1225: Prime factorization of a number is the method of expressing 1225 as a product of prime factors.

The prime factorization of 1225 = 5 х 5 х 7 х 7.
 

There are several ways of finding factors of 1225. We will learn about them one by one as we go on.
 

In this method, we will try to find such a pair of numbers that will give 1225 as their product. We recommend that you should follow the following steps to find factors using multiplication.

Step 1: Always look for a pair of numbers whose product is 1225.

Step 2: After finding such pairs, list them all one by one.

Here, factor pairs of 1225 are (1, 1225), (5, 84), (7, 175), (25, 49), (35, 35)

So the factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, and 1225.
 

In the method, we need to find such numbers that divide 1225 completely without leaving any remainder.

1225/1 = 1225

1225/ 5 = 245

1225/ 7 = 175

1225/ 25 = 49

1225/ 35 = 35

1225/ 49 = 25

1225/ 175 = 7

1225 / 245 = 5

1225/ 1225 = 1

All the 9 numbers:  1, 5, 7, 25, 35, 49, 175, 245, and 1225 mentioned above divide 1225 completely without any remainder. Hence, they are factors of 1225.
 

In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 1225 = 5х 5 х 7х 7

 5² and 7² are the prime factors whose multiplication will give 1225 as a product of prime numbers.
 

A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.

The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
 The factor pairs of 1225 are (1, 1225),  (5, 84), (7, 175), (25, 49), (35, 35).

 
Positive Pair Factors of 1225 are (1, 1225),  (5, 84), (7, 175), (25, 49), (35, 35)

Negative Pair Factors of 1225 are (-1, -1225), (-5, -84), (-7, -175), (-25, -49), (-35, -35)
 

• Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.

• Composite Numbers: Those numbers that have more than 2 factors.

• Negative Factors: These are the counterparts of the positive factors of a number.

• Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.