1. Steps to find factors of 625 using Division Method

Example: Find factors of 625

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

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

2. Steps to find factors of 625 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 625 using the division method, follow these steps:

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

So, the prime factorization of 625 is, 625 = 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 625 as shown below:

So, the prime factorization of 625 is, 625 = 5 x 5 x 5 x 5.

3. Find factors of 625 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 625 would be the two numbers which, when multiplied, give 625 as the result.

The following table represents the calculation of factors of 625 in pairs:

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

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 625. They are called negative pair factors.

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

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

Frequently Asked Questions

  • Is 625 a perfect square?

    Yes 625 is a perfect square.

  • What are factors of 625?

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

  • Which is greatest factor of 625?

    The greatest factor of 625 is 125.

  • What is the sum of all factors of 625?

    The sum of all factors of 625 is 781.

  • What are multiples of 625?

    First five multiples of 625 are 1250, 1875, 2500, 3125.

  • What is the greatest prime factors of 625?

    The greatest prime factor of 625 is 5.

  • What are six multiples of 625?

    First five multiples of 625 are 1250, 1875, 2500, 3125, 3750, 4375.

  • What is prime factorization of 625?

    Prime factorization of 625 is 5 x 5 x 5 x 5.

  • Is 625 a whole number?

    Yes 625 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 625? Help her in writing all the factors.

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

Can you help Sammy find out the product of the odd factors of 625?

Factors of 625 are 1, 5, 25, 125, 625.
Odd factors of 625 are 1, 5, 25, 125, 625.
Hence product of odd factors of 625 is; 1 x 5 x 25 x 125 x 625 = 9765625.

Joey wants to write all the prime factors of 625 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 625 are 5, 5, 5, 5.
So in exponential form it can be written as 54.

How many factors are there for 625?

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

Kevin has been asked to write 4 factor(s) of 625. Can you predict the answer?

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

Sammy is puzzled while calculating the prime factors of 625. Can you help him find them?

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

What is prime factorization of 625?

Prime factorization of 625 is 5 x 5 x 5 x 5 = 54.