# Factors of 1925

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

#### How to find factors of a number

 1.   Find factors of 1925 using Division Method 2.   Find factors of 1925 using Prime Factorization 3.   Find factors of 1925 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1925

• Divide 1925 by 1: 1925 ÷ 1 : Remainder = 0
• Divide 1925 by 5: 1925 ÷ 5 : Remainder = 0
• Divide 1925 by 7: 1925 ÷ 7 : Remainder = 0
• Divide 1925 by 11: 1925 ÷ 11 : Remainder = 0
• Divide 1925 by 25: 1925 ÷ 25 : Remainder = 0
• Divide 1925 by 35: 1925 ÷ 35 : Remainder = 0
• Divide 1925 by 55: 1925 ÷ 55 : Remainder = 0
• Divide 1925 by 77: 1925 ÷ 77 : Remainder = 0
• Divide 1925 by 175: 1925 ÷ 175 : Remainder = 0
• Divide 1925 by 275: 1925 ÷ 275 : Remainder = 0
• Divide 1925 by 385: 1925 ÷ 385 : Remainder = 0
• Divide 1925 by 1925: 1925 ÷ 1925 : Remainder = 0

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

#### 2. Steps to find factors of 1925 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 1925 using the division method, follow these steps:

• Step 1. Start dividing 1925 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1925, which is 5. Divide 1925 by 5 to obtain the quotient (385).
1925 ÷ 5 = 385
• Step 3. Repeat step 1 with the obtained quotient (385).
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 1925 is, 1925 = 5 x 5 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1925 as shown below:

So, the prime factorization of 1925 is, 1925 = 5 x 5 x 7 x 11.

#### 3. Find factors of 1925 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1925 would be the two numbers which, when multiplied, give 1925 as the result.

The following table represents the calculation of factors of 1925 in pairs:

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 ) , ( -5 , -385 ) , ( -7 , -275 ) , ( -11 , -175 ) , ( -25 , -77 ) and ( -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.

• What is prime factorization of 1925?

Prime factorization of 1925 is 5 x 5 x 7 x 11.

• How do you find factors of a negative number? ( eg. -1925 )?

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

• What are the prime factors of 1925?

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

• What are pair factors of 1925?

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

• What is the greatest prime factors of 1925?

The greatest prime factor of 1925 is 11.

• What are six multiples of 1925?

First five multiples of 1925 are 3850, 5775, 7700, 9625, 11550, 13475.

• What are factors of 1925?

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

• Which is the smallest prime factor of 1925?

Smallest prime factor of 1925 is 5.

• Is 1925 a whole number?

Yes 1925 is a whole number.

#### Examples of Factors

Kevin has been asked to write 11 factor(s) of 1925. Can you predict the answer?

11 factor(s) of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385.

Sammy is puzzled while calculating the prime factors of 1925. Can you help him find them?

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

What is prime factorization of 1925?

Prime factorization of 1925 is 5 x 5 x 7 x 11 = 52 x 7 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 1925. Can you help her?

Prime factors of 1925 are 5, 5, 7, 11.
Hence, the product of prime factors of 385.

Can you help Rubel to find out the product of the even factors of 1925?

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925.
Even factors of 1925 are 0.
Hence, product of even factors of 1925 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1925. Help him in finding the mean of 1925.

Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1925 is 1 + 5 + 7 + 11 + 25 + 35 + 55 + 77 + 175 + 275 + 385 + 1925 = 2976.
Hence, the mean of factors of 1925 is 2976 ÷ 12 = 248.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1925? Help her in writing all the factors.

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