Factors of 6875

2. Steps to find factors of 6875 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 6875 using the division method, follow these steps:

• Step 1. Start dividing 6875 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 6875, which is 5. Divide 6875 by 5 to obtain the quotient (1375).
  6875 ÷ 5 = 1375
• Step 3. Repeat step 1 with the obtained quotient (1375).
  1375 ÷ 5 = 275
  275 ÷ 5 = 55
  55 ÷ 5 = 11
  11 ÷ 11 = 1

So, the prime factorization of 6875 is, 6875 = 5 x 5 x 5 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 6875 as shown below:

So, the prime factorization of 6875 is, 6875 = 5 x 5 x 5 x 5 x 11.

3. Find factors of 6875 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 6875 would be the two numbers which, when multiplied, give 6875 as the result.

The following table represents the calculation of factors of 6875 in pairs:

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 6875. They are called negative pair factors.

Hence, the negative pairs of 6875 would be ( -1 , -6875 ) , ( -5 , -1375 ) , ( -11 , -625 ) , ( -25 , -275 ) and ( -55 , -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 number is a factor of zero (0), since 6875 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, 625, 1375, 6875 are exact divisors of 6875.
• Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. Each factor divides 6875 without leaving a remainder.

Frequently Asked Questions

• What is prime factorization of 6875?

  Prime factorization of 6875 is 5 x 5 x 5 x 5 x 11.

• How do you find factors of a negative number? ( eg. -6875 )?

  Factors of -6875 are -1, -5, -11, -25, -55, -125, -275, -625, -1375, -6875.

• What are the prime factors of 6875?

  The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875.
  Prime factors of 6875 are 5, 5, 5, 5, 11.

• What are pair factors of 6875?

  The pair factors of 6875 are (1,6875), (5,1375), (11,625), (25,275), (55,125).

• What is the greatest prime factors of 6875?

  The greatest prime factor of 6875 is 11.

• What are six multiples of 6875?

  First five multiples of 6875 are 13750, 20625, 27500, 34375, 41250, 48125.

• What are factors of 6875?

  Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875.

• Which is the smallest prime factor of 6875?

  Smallest prime factor of 6875 is 5.

• Is 6875 a whole number?

  Yes 6875 is a whole number.

Examples of Factors