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Factors of 2601

Factors of 2601 are the list of integers that we can split evenly into 2601. There are 9 factors of 2601, which are 1, 3, 9, 17, 51, 153, 289, 867, 2601. Here, 2601 is the biggest factor. The sum of all factors of 2601 is 3991. Its Prime Factors are 3 × 17 and (1, 2601), (3, 867), (9, 289), (17, 153), (51, 51) are Pair Factors.

  • All Factors of 2601: 1, 3, 9, 17, 51, 153, 289, 867 and 2601
  • Negative Factors of 2601: -1, -3, -9, -17, -51, -153, -289, -867 and -2601
  • Prime Factors of 2601: 3, 17
  • Prime Factorization of 2601: 32 × 172
  • Sum of Factors of 2601: 3991
1. What Are the Factors of 2601?
2. Factors of 2601 by Prime Factorization
3. Factors of 2601 in Pairs
4. FAQs on Factors of 2601
Factors of 2601

What are Factors of 2601?

Factors of 2601 are pairs of those numbers whose products result in 2601. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2601?

To find the factors of 2601, we will have to find the list of numbers that would divide 2601 without leaving any remainder.

  • 2601/867 = 3; therefore, 867 is a factor of 2601 and 3 is also a factor of 2601.
  • 2601/51 = 51; therefore, 51 is a factor of 2601.
Similarly we can find other factors. Hence, the factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.

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Factors of 2601 by Prime Factorization

The number 2601 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2601. The first step is to divide the number 2601 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.
  • 2601 ÷ 3 = 867
  • 867 ÷ 3 = 289

Further dividing 289 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 289 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 2601 can be written as 32 × 172 where 3, 17 are prime.

 

Factors of 2601 in Pairs

Pair factors of 2601 are the pairs of numbers that when multiplied give the product 2601. The factors of 2601 in pairs are:

  • 1 × 2601 = (1, 2601)
  • 3 × 867 = (3, 867)
  • 9 × 289 = (9, 289)
  • 17 × 153 = (17, 153)
  • 51 × 51 = (51, 51)

Negative pair factors of 2601 are:

  • -1 × -2601 = (-1, -2601)
  • -3 × -867 = (-3, -867)
  • -9 × -289 = (-9, -289)
  • -17 × -153 = (-17, -153)
  • -51 × -51 = (-51, -51)

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

Factors of 2601 Solved Examples

  1. Example 1: How many factors are there for 2601?

    Solution:

    The factors of 2601 are too many, therefore if we can find the prime factorization of 2601, 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 2601 = 32 × 172
    Therefore, the total number of factors are (2 + 1) × (2 + 1) = 3 × 3 = 9

  2. Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 2601 and 2312.

    Solution:

    The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601 and factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312.

    Therefore, the Least Common Multiple of 2601 and 2312 is 20808 and Greatest Common Divisor (GCD) of 2601 and 2312 is 289.

  3. Example 3: Find if 1, 9, 51, 2264 and 2601 are factors of 2601.

    Solution:

    When we divide 2601 by 2264 it leaves a remainder. Therefore, the number 2264 is not a factor of 2601. All numbers except 2264 are factors of 2601.

  4. Example 4: Find the product of all the prime factors of 2601.

    Solution:

    Since, the prime factors of 2601 are 3, 17. Therefore, the product of prime factors = 3 × 17 = 51.

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FAQs on Factors of 2601

What are the Factors of 2601?

The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601 and its negative factors are -1, -3, -9, -17, -51, -153, -289, -867, -2601.

What is the Sum of all the Factors of 2601?

Sum of all factors of 2601 = (32 + 1 - 1)/(3 - 1) × (172 + 1 - 1)/(17 - 1) = 3991

What Numbers are the Prime Factors of 2601?

The prime factors of 2601 are 3, 17.

What is the Greatest Common Factor of 2601 and 2539?

The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601 and the factors of 2539 are 1, 2539. 2601 and 2539 have only one common factor which is 1. This implies that 2601 and 2539 are co-prime.

Hence, the Greatest Common Factor (GCF) of 2601 and 2539 is 1.

What are the Common Factors of 2601 and 1501?

Since, the factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601 and factors of 1501 are 1, 19, 79, 1501. Hence, 2601 and 1501 have only one common factor which is 1. Therefore, 2601 and 1501 are co-prime.

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