# Factors of 3125

Factors of 3125 are 1, 5, 25, 125, 625, and 3125

#### How to find factors of a number

 1.   Find factors of 3125 using Division Method 2.   Find factors of 3125 using Prime Factorization 3.   Find factors of 3125 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 3125

• Divide 3125 by 1: 3125 ÷ 1 : Remainder = 0
• Divide 3125 by 5: 3125 ÷ 5 : Remainder = 0
• Divide 3125 by 25: 3125 ÷ 25 : Remainder = 0
• Divide 3125 by 125: 3125 ÷ 125 : Remainder = 0
• Divide 3125 by 625: 3125 ÷ 625 : Remainder = 0
• Divide 3125 by 3125: 3125 ÷ 3125 : Remainder = 0

Hence, Factors of 3125 are 1, 5, 25, 125, 625, and 3125

#### 2. Steps to find factors of 3125 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 3125 using the division method, follow these steps:

• Step 1. Start dividing 3125 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 3125, which is 5. Divide 3125 by 5 to obtain the quotient (625).
3125 ÷ 5 = 625
• Step 3. Repeat step 1 with the obtained quotient (625).
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 3125 is, 3125 = 5 x 5 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3125 as shown below:

So, the prime factorization of 3125 is, 3125 = 5 x 5 x 5 x 5 x 5.

#### 3. Find factors of 3125 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 3125 would be the two numbers which, when multiplied, give 3125 as the result.

The following table represents the calculation of factors of 3125 in pairs:

Factor Pair Pair Factorization
1 and 3125 1 x 3125 = 3125
5 and 625 5 x 625 = 3125
25 and 125 25 x 125 = 3125

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 3125. They are called negative pair factors.

Hence, the negative pairs of 3125 would be ( -1 , -3125 ) , ( -5 , -625 ) and ( -25 , -125 ) .

#### 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, 25, 125, 625, 3125 are exact divisors of 3125.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 3125 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 3125.

• What two numbers make 3125?

Two numbers that make 3125 are 5 and 625.

• What is prime factorization of 3125?

Prime factorization of 3125 is 5 x 5 x 5 x 5 x 5.

• Write some multiples of 3125?

First five multiples of 3125 are 6250, 9375, 12500, 15625.

• Which is the smallest prime factor of 3125?

The smallest prime factor of 3125 is 5.

• Is 3125 a perfect square?

No 3125 is not a perfect square.

• What is the sum of all factors of 3125?

The sum of all factors of 3125 is 3906.

• What are factors of 3125?

Factors of 3125 are 1, 5, 25, 125, 625, 3125.

• How do you find factors of a negative number? ( eg. -3125 )?

Factors of -3125 are -1, -5, -25, -125, -625, -3125.

• Is 3125 a whole number?

Yes 3125 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 3125. Help him in finding the mean of 3125.

Factors of 3125 are 1, 5, 25, 125, 625, 3125.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 3125 is 1 + 5 + 25 + 125 + 625 + 3125 = 3906.
Hence, the mean of factors of 3125 is 3906 ÷ 6 = 651.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3125? Help her in writing all the factors.

Positive factors are 1, 5, 25, 125, 625, 3125.
Negative factors are -1, -5, -25, -125, -625, -3125.

Joey wants to write all the prime factors of 3125 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3125 are 5, 5, 5, 5, 5.
So in exponential form it can be written as 55.

Kevin has been asked to write 5 factor(s) of 3125. Can you predict the answer?

5 factor(s) of 3125 are 1, 5, 25, 125, 625.

Sammy is puzzled while calculating the prime factors of 3125. Can you help him find them?

Factors of 3125 are 1, 5, 25, 125, 625, 3125.
Prime factors of 3125 are 5, 5, 5, 5, 5

What is prime factorization of 3125?

Prime factorization of 3125 is 5 x 5 x 5 x 5 x 5 = 55.

Can you help Rubel to find out the product of the even factors of 3125?

Factors of 3125 are 1, 5, 25, 125, 625, 3125.
Even factors of 3125 are 0.
Hence, product of even factors of 3125 is; 0 = 0.