# Factors of 875

Factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875

#### How to find factors of a number

 1.   Find factors of 875 using Division Method 2.   Find factors of 875 using Prime Factorization 3.   Find factors of 875 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 875

• Divide 875 by 1: 875 ÷ 1 : Remainder = 0
• Divide 875 by 5: 875 ÷ 5 : Remainder = 0
• Divide 875 by 7: 875 ÷ 7 : Remainder = 0
• Divide 875 by 25: 875 ÷ 25 : Remainder = 0
• Divide 875 by 35: 875 ÷ 35 : Remainder = 0
• Divide 875 by 125: 875 ÷ 125 : Remainder = 0
• Divide 875 by 175: 875 ÷ 175 : Remainder = 0
• Divide 875 by 875: 875 ÷ 875 : Remainder = 0

Hence, Factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875

#### 2. Steps to find factors of 875 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 875 using the division method, follow these steps:

• Step 1. Start dividing 875 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 875, which is 5. Divide 875 by 5 to obtain the quotient (175).
875 ÷ 5 = 175
• Step 3. Repeat step 1 with the obtained quotient (175).
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So, the prime factorization of 875 is, 875 = 5 x 5 x 5 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 875 as shown below:

So, the prime factorization of 875 is, 875 = 5 x 5 x 5 x 7.

#### 3. Find factors of 875 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 875 would be the two numbers which, when multiplied, give 875 as the result.

The following table represents the calculation of factors of 875 in pairs:

Factor Pair Pair Factorization
1 and 875 1 x 875 = 875
5 and 175 5 x 175 = 875
7 and 125 7 x 125 = 875
25 and 35 25 x 35 = 875

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 875. They are called negative pair factors.

Hence, the negative pairs of 875 would be ( -1 , -875 ) , ( -5 , -175 ) , ( -7 , -125 ) and ( -25 , -35 ) .

#### 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 875 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, 7, 25, 35, 125, 175, 875 are exact divisors of 875.
• Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. Each factor divides 875 without leaving a remainder.

• What two numbers make 875?

Two numbers that make 875 are 5 and 175.

• What is prime factorization of 875?

Prime factorization of 875 is 5 x 5 x 5 x 7.

• Write some multiples of 875?

First five multiples of 875 are 1750, 2625, 3500, 4375.

• Which is the smallest prime factor of 875?

The smallest prime factor of 875 is 5.

• Is 875 a perfect square?

No 875 is not a perfect square.

• What is the sum of all factors of 875?

The sum of all factors of 875 is 1248.

• What are factors of 875?

Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875.

• How do you find factors of a negative number? ( eg. -875 )?

Factors of -875 are -1, -5, -7, -25, -35, -125, -175, -875.

• Is 875 a whole number?

Yes 875 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 875. Help him in finding the mean of 875.

Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 875 is 1 + 5 + 7 + 25 + 35 + 125 + 175 + 875 = 1248.
Hence, the mean of factors of 875 is 1248 ÷ 8 = 156.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 875? Help her in writing all the factors.

Positive factors are 1, 5, 7, 25, 35, 125, 175, 875.
Negative factors are -1, -5, -7, -25, -35, -125, -175, -875.

Joey wants to write all the prime factors of 875 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 875 are 5, 5, 5, 7.
So in exponential form it can be written as 53 x 7.

Kevin has been asked to write 7 factor(s) of 875. Can you predict the answer?

7 factor(s) of 875 are 1, 5, 7, 25, 35, 125, 175.

Sammy is puzzled while calculating the prime factors of 875. Can you help him find them?

Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875.
Prime factors of 875 are 5, 5, 5, 7

What is prime factorization of 875?

Prime factorization of 875 is 5 x 5 x 5 x 7 = 53 x 7.

Can you help Rubel to find out the product of the even factors of 875?

Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875.
Even factors of 875 are 0.
Hence, product of even factors of 875 is; 0 = 0.