# Factors of 1375

Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, and 1375

#### How to find factors of a number

 1.   Find factors of 1375 using Division Method 2.   Find factors of 1375 using Prime Factorization 3.   Find factors of 1375 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1375

• Divide 1375 by 1: 1375 ÷ 1 : Remainder = 0
• Divide 1375 by 5: 1375 ÷ 5 : Remainder = 0
• Divide 1375 by 11: 1375 ÷ 11 : Remainder = 0
• Divide 1375 by 25: 1375 ÷ 25 : Remainder = 0
• Divide 1375 by 55: 1375 ÷ 55 : Remainder = 0
• Divide 1375 by 125: 1375 ÷ 125 : Remainder = 0
• Divide 1375 by 275: 1375 ÷ 275 : Remainder = 0
• Divide 1375 by 1375: 1375 ÷ 1375 : Remainder = 0

Hence, Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, and 1375

#### 2. Steps to find factors of 1375 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 1375 using the division method, follow these steps:

• Step 1. Start dividing 1375 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 1375, which is 5. Divide 1375 by 5 to obtain the quotient (275).
1375 ÷ 5 = 275
• Step 3. Repeat step 1 with the obtained quotient (275).
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 1375 is, 1375 = 5 x 5 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1375 as shown below:

So, the prime factorization of 1375 is, 1375 = 5 x 5 x 5 x 11.

#### 3. Find factors of 1375 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 1375 would be the two numbers which, when multiplied, give 1375 as the result.

The following table represents the calculation of factors of 1375 in pairs:

Factor Pair Pair Factorization
1 and 1375 1 x 1375 = 1375
5 and 275 5 x 275 = 1375
11 and 125 11 x 125 = 1375
25 and 55 25 x 55 = 1375

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 1375. They are called negative pair factors.

Hence, the negative pairs of 1375 would be ( -1 , -1375 ) , ( -5 , -275 ) , ( -11 , -125 ) and ( -25 , -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 number is a factor of zero (0), since 1375 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 11, 25, 55, 125, 275, 1375 are exact divisors of 1375.
• Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. Each factor divides 1375 without leaving a remainder.

• Which is the smallest prime factor of 1375?

The smallest prime factor of 1375 is 5.

• Is 1375 a whole number?

Yes 1375 is a whole number.

• What are the prime factors of 1375?

The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375.
Prime factors of 1375 are 5, 5, 5, 11.

• What two numbers make 1375?

Two numbers that make 1375 are 5 and 275.

• What are multiples of 1375?

First five multiples of 1375 are 2750, 4125, 5500, 6875.

• What is the sum of all factors of 1375?

The sum of all factors of 1375 is 1872.

• What are five multiples of 1375?

First five multiples of 1375 are 2750, 4125, 5500, 6875, 8250.

• Is 1375 a perfect square?

No 1375 is not a perfect square.

• What is the greatest prime factors of 1375?

The greatest prime factor of 1375 is 11.

#### Examples of Factors

How many factors are there for 1375?

Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 1375. Can you predict the answer?

7 factor(s) of 1375 are 1, 5, 11, 25, 55, 125, 275.

Sammy is puzzled while calculating the prime factors of 1375. Can you help him find them?

Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375.
Prime factors of 1375 are 5, 5, 5, 11

What is prime factorization of 1375?

Prime factorization of 1375 is 5 x 5 x 5 x 11 = 53 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 1375. Can you help her?

Prime factors of 1375 are 5, 5, 5, 11.
Hence, the product of prime factors of 55.

Can you help Rubel to find out the product of the even factors of 1375?

Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375.
Even factors of 1375 are 0.
Hence, product of even factors of 1375 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1375. Help him in finding the mean of 1375.

Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1375 is 1 + 5 + 11 + 25 + 55 + 125 + 275 + 1375 = 1872.
Hence, the mean of factors of 1375 is 1872 ÷ 8 = 234.00.