# Factors of 3025 in pair

Factors of 3025 in pair are (1, 3025) , (5, 605) , (11, 275) , (25, 121) and (55, 55)

#### How to find factors of a number in pair

 1.   Steps to find factors of 3025 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 3025 in pair

Factor Pair Pair Factorization
1 and 3025 1 x 3025 = 3025
5 and 605 5 x 605 = 3025
11 and 275 11 x 275 = 3025
25 and 121 25 x 121 = 3025
55 and 55 55 x 55 = 3025

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 3025. They are called negative pair factors.

Hence, the negative pairs of 3025 would be ( -1 , -3025 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 3025 are 1 , 5 , 11 , 25 , 55 , 121 , 275 , 605 , 3025. So, factors of 3025 in pair are (1,3025), (5,605), (11,275), (25,121), (55,55).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 5, 11, 25, 55, 121, 275, 605, 3025 are exact divisors of 3025.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 3025 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 3025.

#### Steps to find Factors of 3025

• Step 1. Find all the numbers that would divide 3025 without leaving any remainder. Starting with the number 1 upto 1512 (half of 3025). The number 1 and the number itself are always factors of the given number.
3025 ÷ 1 : Remainder = 0
3025 ÷ 5 : Remainder = 0
3025 ÷ 11 : Remainder = 0
3025 ÷ 25 : Remainder = 0
3025 ÷ 55 : Remainder = 0
3025 ÷ 121 : Remainder = 0
3025 ÷ 275 : Remainder = 0
3025 ÷ 605 : Remainder = 0
3025 ÷ 3025 : Remainder = 0

Hence, Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, and 3025

• Is there any even prime factor of 3025?

No there is no even prime factor, i.e. 2, of 3025.

• What is the mean of all prime factors of 3025?

Factors of 3025 are 1 , 5 , 11 , 25 , 55 , 121 , 275 , 605 , 3025. Prime factors of 3025 are 5 , 5 , 11 , 11. Therefore mean of prime factors of 3025 is (5 + 5 + 11 + 11) / 4 = 8.00.

• What is the mean of factors of 3025?

Factors of 3025 are 1 , 5 , 11 , 25 , 55 , 121 , 275 , 605 , 3025. therefore mean of factors of 3025 is (1 + 5 + 11 + 25 + 55 + 121 + 275 + 605 + 3025) / 9 = 458.11.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 3025 blocks in order to form a rectangle in all possible ways? For arranging 3025 blocks in order to form a rectangle in all possible ways we need to find factors of 3025 in pair.

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. So, factors of 3025 in pair are (1,3025), (5,605), (11,275), (25,121), (55,55).

How many total number of factors of 3025 in pair are possible?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. Hence, the factors of 3025 in pair are (1,3025), (5,605), (11,275), (25,121), (55,55). Therefore, in total 5 pairs of factors are possible.

Sammy wants to write all the negative factors of 3025 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3025 are -1, -5, -11, -25, -55, -121, -275, -605, -3025. Hence, factors of 3025 in pair are (-1,-3025), (-5,-605), (-11,-275), (-25,-121), (-55,-55).

Find the product of all prime factors of 3025.

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. Prime factors are 5, 5, 11, 11. So, the product of all prime factors of 3025 would be 5 x 5 x 11 x 11 = 3025.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 3025.
- Writing all prime factors of 3025.
- Writing all the possible factors of 3025 in pair.
Help him in writing all these.

Positive factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Prime factors of 3025 are 5, 5, 11, 11.
Factors of 3025 in pair are (1,3025), (5,605), (11,275), (25,121), (55,55).

Can you help Sammy list the factors of 3025 and also find the factor pairs?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Factors of 3025 in pair are (1,3025), (5,605), (11,275), (25,121), (55,55).

Help Diji in finding factors of 3025 by Prime Factorization method and then sorting factors of 3025 in pairs.

Prime factorization of 3025 is 5 x 5 x 11 x 11. Factors of 3025 in pair can be written as (1,3025), (5,605), (11,275), (25,121), (55,55).

Write the smallest prime factor of 3025.

Smallest prime factor of 3025 is 5.