# Factors of 15625

Factors of 15625 are 1, 5, 25, 125, 625, 3125, and 15625

#### How to find factors of a number

 1.   Find factors of 15625 using Division Method 2.   Find factors of 15625 using Prime Factorization 3.   Find factors of 15625 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 15625

• Divide 15625 by 1: 15625 ÷ 1 : Remainder = 0
• Divide 15625 by 5: 15625 ÷ 5 : Remainder = 0
• Divide 15625 by 25: 15625 ÷ 25 : Remainder = 0
• Divide 15625 by 125: 15625 ÷ 125 : Remainder = 0
• Divide 15625 by 625: 15625 ÷ 625 : Remainder = 0
• Divide 15625 by 3125: 15625 ÷ 3125 : Remainder = 0
• Divide 15625 by 15625: 15625 ÷ 15625 : Remainder = 0

Hence, Factors of 15625 are 1, 5, 25, 125, 625, 3125, and 15625

#### 2. Steps to find factors of 15625 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 15625 using the division method, follow these steps:

• Step 1. Start dividing 15625 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 15625, which is 5. Divide 15625 by 5 to obtain the quotient (3125).
15625 ÷ 5 = 3125
• Step 3. Repeat step 1 with the obtained quotient (3125).
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 15625 is, 15625 = 5 x 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 15625 as shown below:

So, the prime factorization of 15625 is, 15625 = 5 x 5 x 5 x 5 x 5 x 5.

#### 3. Find factors of 15625 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 15625 would be the two numbers which, when multiplied, give 15625 as the result.

The following table represents the calculation of factors of 15625 in pairs:

Factor Pair Pair Factorization
1 and 15625 1 x 15625 = 15625
5 and 3125 5 x 3125 = 15625
25 and 625 25 x 625 = 15625
125 and 125 125 x 125 = 15625

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 15625. They are called negative pair factors.

Hence, the negative pairs of 15625 would be ( -1 , -15625 ) , ( -5 , -3125 ) , ( -25 , -625 ) and ( -125 , -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, 15625 are exact divisors of 15625.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 15625 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 15625.

• What are the prime factors of 15625?

The factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.
Prime factors of 15625 are 5, 5, 5, 5, 5, 5.

• What is the sum of all factors of 15625?

The sum of all factors of 15625 is 19531.

• What are the pair factors of 15625?

Pair factors of 15625 are (1,15625), (5,3125), (25,625), (125,125).

• What two numbers make 15625?

Two numbers that make 15625 are 5 and 3125.

• What are multiples of 15625?

First five multiples of 15625 are 31250, 46875, 62500, 78125.

• Is 15625 a perfect square?

Yes 15625 is a perfect square.

• Which is greatest factor of 15625?

The greatest factor of 15625 is 3125.

• How do you factors of 15625?

Factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.

• What are five multiples of 15625?

First five multiples of 15625 are 31250, 46875, 62500, 78125, 93750.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 15625?

Factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.
Even factors of 15625 are 0.
Hence, product of even factors of 15625 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 15625? Help her in writing all the factors.

Positive factors are 1, 5, 25, 125, 625, 3125, 15625.
Negative factors are -1, -5, -25, -125, -625, -3125, -15625.

How many factors are there for 15625?

Factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.
So there are in total 7 factors.

Sammy is puzzled while calculating the prime factors of 15625. Can you help him find them?

Factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.
Prime factors of 15625 are 5, 5, 5, 5, 5, 5

Joey wants to write all the prime factors of 15625 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 15625 are 5, 5, 5, 5, 5, 5.
So in exponential form it can be written as 56.

What is prime factorization of 15625?

Prime factorization of 15625 is 5 x 5 x 5 x 5 x 5 x 5 = 56.

Can you help Rubel to find out the product of the even factors of 15625?

Factors of 15625 are 1, 5, 25, 125, 625, 3125, 15625.
Even factors of 15625 are 0.
Hence, product of even factors of 15625 is; 0 = 0.