1. Steps to find factors of 2625 using Division Method

Example: Find factors of 2625

  • Divide 2625 by 1: 2625 ÷ 1 : Remainder = 0
  • Divide 2625 by 3: 2625 ÷ 3 : Remainder = 0
  • Divide 2625 by 5: 2625 ÷ 5 : Remainder = 0
  • Divide 2625 by 7: 2625 ÷ 7 : Remainder = 0
  • Divide 2625 by 15: 2625 ÷ 15 : Remainder = 0
  • Divide 2625 by 21: 2625 ÷ 21 : Remainder = 0
  • Divide 2625 by 25: 2625 ÷ 25 : Remainder = 0
  • Divide 2625 by 35: 2625 ÷ 35 : Remainder = 0
  • Divide 2625 by 75: 2625 ÷ 75 : Remainder = 0
  • Divide 2625 by 105: 2625 ÷ 105 : Remainder = 0
  • Divide 2625 by 125: 2625 ÷ 125 : Remainder = 0
  • Divide 2625 by 175: 2625 ÷ 175 : Remainder = 0
  • Divide 2625 by 375: 2625 ÷ 375 : Remainder = 0
  • Divide 2625 by 525: 2625 ÷ 525 : Remainder = 0
  • Divide 2625 by 875: 2625 ÷ 875 : Remainder = 0
  • Divide 2625 by 2625: 2625 ÷ 2625 : Remainder = 0

Hence, Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, and 2625

2. Steps to find factors of 2625 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 2625 using the division method, follow these steps:

  • Step 1. Start dividing 2625 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 2625, which is 3. Divide 2625 by 3 to obtain the quotient (875).
    2625 ÷ 3 = 875
  • Step 3. Repeat step 1 with the obtained quotient (875).
    875 ÷ 5 = 175
    175 ÷ 5 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So, the prime factorization of 2625 is, 2625 = 3 x 5 x 5 x 5 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2625 as shown below:

So, the prime factorization of 2625 is, 2625 = 3 x 5 x 5 x 5 x 7.

3. Find factors of 2625 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 2625 would be the two numbers which, when multiplied, give 2625 as the result.

The following table represents the calculation of factors of 2625 in pairs:

Factor Pair Pair Factorization
1 and 2625 1 x 2625 = 2625
3 and 875 3 x 875 = 2625
5 and 525 5 x 525 = 2625
7 and 375 7 x 375 = 2625
15 and 175 15 x 175 = 2625
21 and 125 21 x 125 = 2625
25 and 105 25 x 105 = 2625
35 and 75 35 x 75 = 2625

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 2625. They are called negative pair factors.

Hence, the negative pairs of 2625 would be ( -1 , -2625 ) , ( -3 , -875 ) , ( -5 , -525 ) , ( -7 , -375 ) , ( -15 , -175 ) , ( -21 , -125 ) , ( -25 , -105 ) and ( -35 , -75 ) .

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, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625 are exact divisors of 2625.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 2625 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2625.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -2625 )?

    Factors of -2625 are -1, -3, -5, -7, -15, -21, -25, -35, -75, -105, -125, -175, -375, -525, -875, -2625.

  • What is the sum of all factors of 2625?

    The sum of all factors of 2625 is 4992.

  • What is prime factorization of 2625?

    Prime factorization of 2625 is 3 x 5 x 5 x 5 x 7.

  • What are the pair factors of 2625?

    Pair factors of 2625 are (1,2625), (3,875), (5,525), (7,375), (15,175), (21,125), (25,105), (35,75).

  • What are six multiples of 2625?

    First five multiples of 2625 are 5250, 7875, 10500, 13125, 15750, 18375.

  • Is 2625 a whole number?

    Yes 2625 is a whole number.

  • Which is the smallest prime factor of 2625?

    Smallest prime factor of 2625 is 3.

  • What are five multiples of 2625?

    First five multiples of 2625 are 5250, 7875, 10500, 13125, 15750.

  • Write all factors of 2625?

    Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.

Examples of Factors

Joey wants to write all the prime factors of 2625 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2625 are 3, 5, 5, 5, 7.
So in exponential form it can be written as 3 x 53 x 7.

How many factors are there for 2625?

Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 2625. Can you predict the answer?

15 factor(s) of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875.

Sammy is puzzled while calculating the prime factors of 2625. Can you help him find them?

Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.
Prime factors of 2625 are 3, 5, 5, 5, 7

What is prime factorization of 2625?

Prime factorization of 2625 is 3 x 5 x 5 x 5 x 7 = 3 x 53 x 7.

Ariel has been assigned the task to find the product of all the prime factors of 2625. Can you help her?

Prime factors of 2625 are 3, 5, 5, 5, 7.
Hence, the product of prime factors of 105.

Can you help Rubel to find out the product of the even factors of 2625?

Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.
Even factors of 2625 are 0.
Hence, product of even factors of 2625 is; 0 = 0.