A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
LearnPracticeDownload

 

Factors of 3025

Factors of 3025 are the list of integers that we can split evenly into 3025. It has a total of 9 factors of which 3025 is the biggest factor and the positive factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. The Prime Factors and Pair Factors of 3025 are 5 × 11 and (1, 3025), (5, 605), (11, 275), (25, 121), (55, 55) respectively.

  • All Factors of 3025: 1, 5, 11, 25, 55, 121, 275, 605 and 3025
  • Negative Factors of 3025: -1, -5, -11, -25, -55, -121, -275, -605 and -3025
  • Prime Factors of 3025: 5, 11
  • Prime Factorization of 3025: 52 × 112
  • Sum of Factors of 3025: 4123
1. What Are the Factors of 3025?
2. Factors of 3025 by Prime Factorization
3. Factors of 3025 in Pairs
4. FAQs on Factors of 3025
Factors of 3025

What are Factors of 3025?

Factors of 3025 are pairs of those numbers whose products result in 3025. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3025?

To find the factors of 3025, we will have to find the list of numbers that would divide 3025 without leaving any remainder.

  • 3025/605 = 5; therefore, 605 is a factor of 3025 and 5 is also a factor of 3025.
  • 3025/25 = 121; therefore, 25 is a factor of 3025 and 121 is also a factor of 3025.
Similarly we can find other factors. Hence, the factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025.

☛ Also Check:

Factors of 3025 by Prime Factorization

The number 3025 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3025. The first step is to divide the number 3025 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.
  • 3025 ÷ 5 = 605
  • 605 ÷ 5 = 121

Further dividing 121 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 121 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 3025 can be written as 52 × 112 where 5, 11 are prime.

 

Factors of 3025 in Pairs

Pair factors of 3025 are the pairs of numbers that when multiplied give the product 3025. The factors of 3025 in pairs are:

  • 1 × 3025 = (1, 3025)
  • 5 × 605 = (5, 605)
  • 11 × 275 = (11, 275)
  • 25 × 121 = (25, 121)
  • 55 × 55 = (55, 55)

Negative pair factors of 3025 are:

  • -1 × -3025 = (-1, -3025)
  • -5 × -605 = (-5, -605)
  • -11 × -275 = (-11, -275)
  • -25 × -121 = (-25, -121)
  • -55 × -55 = (-55, -55)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 3025 Solved Examples

  1. Example 1: How many factors are there for 3025?

    Solution:

    The factors of 3025 are too many, therefore if we can find the prime factorization of 3025, then the total number of factors can be calculated using the formula shown below.
    If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

    Prime Factorization of 3025 = 52 × 112
    Therefore, the total number of factors are (2 + 1) × (2 + 1) = 3 × 3 = 9

  2. Example 2: Find the LCM and Highest Common Factor (HCF) of 3025 and 2735.

    Solution:

    The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025 and factors of 2735 are 1, 5, 547, 2735.

    Therefore, the LCM of 3025 and 2735 is 1654675 and Highest Common Factor (HCF) of 3025 and 2735 is 5.

  3. Example 3: Find if 25, 55, 121, 275 and 923 are factors of 3025.

    Solution:

    When we divide 3025 by 923 it leaves a remainder. Therefore, the number 923 is not a factor of 3025. All numbers except 923 are factors of 3025.

  4. Example 4: Find the product of all the prime factors of 3025.

    Solution:

    Since, the prime factors of 3025 are 5, 11. Therefore, the product of prime factors = 5 × 11 = 55.

Show Solution >

go to slidego to slidego to slidego to slide

 

Ready to see the world through math’s eyes?
Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. 

Book a Free Trial Class

 

FAQs on Factors of 3025

What are the Factors of 3025?

The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025 and its negative factors are -1, -5, -11, -25, -55, -121, -275, -605, -3025.

What is the Sum of all Factors of 3025?

Sum of all factors of 3025 = (52 + 1 - 1)/(5 - 1) × (112 + 1 - 1)/(11 - 1) = 4123

What numbers are the Pair Factors of 3025?

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

What is the Greatest Common Factor of 3025 and 927?

The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025 and the factors of 927 are 1, 3, 9, 103, 309, 927. 3025 and 927 have only one common factor which is 1. This implies that 3025 and 927 are co-prime.

Hence, the Greatest Common Factor (GCF) of 3025 and 927 is 1.

What are the Common Factors of 3025 and 466?

Since, the factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025 and factors of 466 are 1, 2, 233, 466. Hence, 3025 and 466 have only one common factor which is 1. Therefore, 3025 and 466 are co-prime.

Math worksheets and
visual curriculum