# Factors of 6250

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, and 6250

#### How to find factors of a number

 1.   Find factors of 6250 using Division Method 2.   Find factors of 6250 using Prime Factorization 3.   Find factors of 6250 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 6250

• Divide 6250 by 1: 6250 ÷ 1 : Remainder = 0
• Divide 6250 by 2: 6250 ÷ 2 : Remainder = 0
• Divide 6250 by 5: 6250 ÷ 5 : Remainder = 0
• Divide 6250 by 10: 6250 ÷ 10 : Remainder = 0
• Divide 6250 by 25: 6250 ÷ 25 : Remainder = 0
• Divide 6250 by 50: 6250 ÷ 50 : Remainder = 0
• Divide 6250 by 125: 6250 ÷ 125 : Remainder = 0
• Divide 6250 by 250: 6250 ÷ 250 : Remainder = 0
• Divide 6250 by 625: 6250 ÷ 625 : Remainder = 0
• Divide 6250 by 1250: 6250 ÷ 1250 : Remainder = 0
• Divide 6250 by 3125: 6250 ÷ 3125 : Remainder = 0
• Divide 6250 by 6250: 6250 ÷ 6250 : Remainder = 0

Hence, Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, and 6250

#### 2. Steps to find factors of 6250 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 6250 using the division method, follow these steps:

• Step 1. Start dividing 6250 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 6250, which is 2. Divide 6250 by 2 to obtain the quotient (3125).
6250 ÷ 2 = 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 6250 is, 6250 = 2 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 6250 as shown below:

So, the prime factorization of 6250 is, 6250 = 2 x 5 x 5 x 5 x 5 x 5.

#### 3. Find factors of 6250 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 6250 would be the two numbers which, when multiplied, give 6250 as the result.

The following table represents the calculation of factors of 6250 in pairs:

Factor Pair Pair Factorization
1 and 6250 1 x 6250 = 6250
2 and 3125 2 x 3125 = 6250
5 and 1250 5 x 1250 = 6250
10 and 625 10 x 625 = 6250
25 and 250 25 x 250 = 6250
50 and 125 50 x 125 = 6250

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 6250. They are called negative pair factors.

Hence, the negative pairs of 6250 would be ( -1 , -6250 ) , ( -2 , -3125 ) , ( -5 , -1250 ) , ( -10 , -625 ) , ( -25 , -250 ) and ( -50 , -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

• Each number is a factor of itself. Eg. 6250 is a factor of itself.
• 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, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 are exact divisors of 6250.
• 1 is a factor of every number. Eg. 1 is a factor of 6250.
• Every number is a factor of zero (0), since 6250 x 0 = 0.

• Is 6250 a perfect square?

No 6250 is not a perfect square.

• What are factors of 6250?

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.

• Which is greatest factor of 6250?

The greatest factor of 6250 is 3125.

• What is the sum of all factors of 6250?

The sum of all factors of 6250 is 11718.

• What are multiples of 6250?

First five multiples of 6250 are 12500, 18750, 25000, 31250.

• What is the greatest prime factors of 6250?

The greatest prime factor of 6250 is 5.

• What are six multiples of 6250?

First five multiples of 6250 are 12500, 18750, 25000, 31250, 37500, 43750.

• What is prime factorization of 6250?

Prime factorization of 6250 is 2 x 5 x 5 x 5 x 5 x 5.

• Is 6250 a whole number?

Yes 6250 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 6250? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.
Negative factors are -1, -2, -5, -10, -25, -50, -125, -250, -625, -1250, -3125, -6250.

Can you help Sammy find out the product of the odd factors of 6250?

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.
Odd factors of 6250 are 1, 5, 25, 125, 625, 3125.
Hence product of odd factors of 6250 is; 1 x 5 x 25 x 125 x 625 x 3125 = 30517578125.

Joey wants to write all the prime factors of 6250 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 6250 are 2, 5, 5, 5, 5, 5.
So in exponential form it can be written as 2 x 55.

How many factors are there for 6250?

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 6250. Can you predict the answer?

11 factor(s) of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125.

Sammy is puzzled while calculating the prime factors of 6250. Can you help him find them?

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.
Prime factors of 6250 are 2, 5, 5, 5, 5, 5

What is prime factorization of 6250?

Prime factorization of 6250 is 2 x 5 x 5 x 5 x 5 x 5 = 2 x 55.