1. Steps to find factors of 3025 using Division Method

Example: Find factors of 3025

  • Divide 3025 by 1: 3025 ÷ 1 : Remainder = 0
  • Divide 3025 by 5: 3025 ÷ 5 : Remainder = 0
  • Divide 3025 by 11: 3025 ÷ 11 : Remainder = 0
  • Divide 3025 by 25: 3025 ÷ 25 : Remainder = 0
  • Divide 3025 by 55: 3025 ÷ 55 : Remainder = 0
  • Divide 3025 by 121: 3025 ÷ 121 : Remainder = 0
  • Divide 3025 by 275: 3025 ÷ 275 : Remainder = 0
  • Divide 3025 by 605: 3025 ÷ 605 : Remainder = 0
  • Divide 3025 by 3025: 3025 ÷ 3025 : Remainder = 0

Hence, Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, and 3025

2. Steps to find factors of 3025 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 3025 using the division method, follow these steps:

  • Step 1. Start dividing 3025 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 3025, which is 5. Divide 3025 by 5 to obtain the quotient (605).
    3025 ÷ 5 = 605
  • Step 3. Repeat step 1 with the obtained quotient (605).
    605 ÷ 5 = 121
    121 ÷ 11 = 11
    11 ÷ 11 = 1

So, the prime factorization of 3025 is, 3025 = 5 x 5 x 11 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3025 as shown below:

So, the prime factorization of 3025 is, 3025 = 5 x 5 x 11 x 11.

3. Find factors of 3025 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 3025 would be the two numbers which, when multiplied, give 3025 as the result.

The following table represents the calculation of factors of 3025 in pairs:

Factor Pair Pair Factorization
1 and 3025 1 x 3025 = 3025
5 and 605 5 x 605 = 3025
11 and 275 11 x 275 = 3025
25 and 121 25 x 121 = 3025
55 and 55 55 x 55 = 3025

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 3025. They are called negative pair factors.

Hence, the negative pairs of 3025 would be ( -1 , -3025 ) , ( -5 , -605 ) , ( -11 , -275 ) , ( -25 , -121 ) and ( -55 , -55 ) .

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, 11, 25, 55, 121, 275, 605, 3025 are exact divisors of 3025.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 3025 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3025.

Frequently Asked Questions

  • What are the prime factors of 3025?

    The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
    Prime factors of 3025 are 5, 5, 11, 11.

  • What is the sum of all factors of 3025?

    The sum of all factors of 3025 is 4123.

  • What are the pair factors of 3025?

    Pair factors of 3025 are (1,3025), (5,605), (11,275), (25,121), (55,55).

  • What two numbers make 3025?

    Two numbers that make 3025 are 5 and 605.

  • What are multiples of 3025?

    First five multiples of 3025 are 6050, 9075, 12100, 15125.

  • Is 3025 a perfect square?

    Yes 3025 is a perfect square.

  • Which is greatest factor of 3025?

    The greatest factor of 3025 is 605.

  • How do you factors of 3025?

    Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.

  • What are five multiples of 3025?

    First five multiples of 3025 are 6050, 9075, 12100, 15125, 18150.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 3025?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Even factors of 3025 are 0.
Hence, product of even factors of 3025 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3025? Help her in writing all the factors.

Positive factors are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Negative factors are -1, -5, -11, -25, -55, -121, -275, -605, -3025.

How many factors are there for 3025?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
So there are in total 9 factors.

Sammy is puzzled while calculating the prime factors of 3025. Can you help him find them?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Prime factors of 3025 are 5, 5, 11, 11

Joey wants to write all the prime factors of 3025 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3025 are 5, 5, 11, 11.
So in exponential form it can be written as 52 x 112.

What is prime factorization of 3025?

Prime factorization of 3025 is 5 x 5 x 11 x 11 = 52 x 112.

Can you help Rubel to find out the product of the even factors of 3025?

Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.
Even factors of 3025 are 0.
Hence, product of even factors of 3025 is; 0 = 0.