# Factors of 1925 in pair

Factors of 1925 in pair are (1, 1925) , (5, 385) , (7, 275) , (11, 175) , (25, 77) and (35, 55)

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

 1.   Steps to find factors of 1925 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 1925 in pair

Factor Pair Pair Factorization
1 and 1925 1 x 1925 = 1925
5 and 385 5 x 385 = 1925
7 and 275 7 x 275 = 1925
11 and 175 11 x 175 = 1925
25 and 77 25 x 77 = 1925
35 and 55 35 x 55 = 1925

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 1925. They are called negative pair factors.

Hence, the negative pairs of 1925 would be ( -1 , -1925 ) .

#### 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 1925 are 1 , 5 , 7 , 11 , 25 , 35 , 55 , 77 , 175 , 275 , 385 , 1925. So, factors of 1925 in pair are (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

#### 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, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925 are exact divisors of 1925.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1925 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1925.

#### Steps to find Factors of 1925

• Step 1. Find all the numbers that would divide 1925 without leaving any remainder. Starting with the number 1 upto 962 (half of 1925). The number 1 and the number itself are always factors of the given number.
1925 ÷ 1 : Remainder = 0
1925 ÷ 5 : Remainder = 0
1925 ÷ 7 : Remainder = 0
1925 ÷ 11 : Remainder = 0
1925 ÷ 25 : Remainder = 0
1925 ÷ 35 : Remainder = 0
1925 ÷ 55 : Remainder = 0
1925 ÷ 77 : Remainder = 0
1925 ÷ 175 : Remainder = 0
1925 ÷ 275 : Remainder = 0
1925 ÷ 385 : Remainder = 0
1925 ÷ 1925 : Remainder = 0

Hence, Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, and 1925

• Is 1925 a perfect square?

No 1925 is not a perfect square.

• Write five multiples of 1925.

Five multiples of 1925 are 3850, 5775, 7700, 9625, 11550.

• Is there any even prime factor of 1925?

No there is no even prime factor, i.e. 2, of 1925.

• 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 1925 blocks in order to form a rectangle in all possible ways? For arranging 1925 blocks in order to form a rectangle in all possible ways we need to find factors of 1925 in pair.

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. So, factors of 1925 in pair are (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

Ariel has been asked to write all factor pairs of 1925 but she is finding it difficult. Can you help her find out?

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. So, factors of 1925 in pair are (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

What are the pair factors of 1925?

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. Hence, the factors of 1925 in pair are (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

Can you help Sammy list the factors of 1925 and also find the factor pairs?

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925.
Factors of 1925 in pair are (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

Help Diji in finding factors of 1925 by Prime Factorization method and then sorting factors of 1925 in pairs.

Prime factorization of 1925 is 5 x 5 x 7 x 11. Factors of 1925 in pair can be written as (1,1925), (5,385), (7,275), (11,175), (25,77), (35,55).

Write the smallest prime factor of 1925.

Smallest prime factor of 1925 is 5.

Write the largest prime factor of 1925.

Largest prime factor of 1925 is 11.

Diji wants to write all the negative factors of 1925. Can you help Diji in doing the same?

Negative factors of 1925 are -1, -5, -7, -11, -25, -35, -55, -77, -175, -275, -385, -1925.