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Factors of 6250

Factors of 6250 are the list of integers that can be evenly divided into 6250. There are overall 12 factors of 6250 among which 6250 is the biggest factor and its prime factors are 2, 5. The sum of all factors of 6250 is 11718.

  • All Factors of 6250: 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125 and 6250
  • Prime Factors of 6250: 2, 5
  • Prime Factorization of 6250: 21 × 55
  • Sum of Factors of 6250: 11718
1. What Are the Factors of 6250?
2. Factors of 6250 by Prime Factorization
3. Factors of 6250 in Pairs
4. FAQs on Factors of 6250
Factors of 6250

What are Factors of 6250?

Factors of 6250 are pairs of those numbers whose products result in 6250. These factors are either prime numbers or composite numbers.

How to Find the Factors of 6250?

To find the factors of 6250, we will have to find the list of numbers that would divide 6250 without leaving any remainder.

  • 6250/25 = 250; therefore, 25 is a factor of 6250 and 250 is also a factor of 6250.
  • 6250/2 = 3125; therefore, 2 is a factor of 6250 and 3125 is also a factor of 6250.
Similarly we can find other factors. Hence, the factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.

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Factors of 6250 by Prime Factorization

The number 6250 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 6250. The first step is to divide the number 6250 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 6250 ÷ 2 = 3125

Further dividing 3125 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 3125 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 6250 can be written as 21 × 55 where 2, 5 are prime.

 

Factors of 6250 in Pairs

Pair factors of 6250 are the pairs of numbers that when multiplied give the product 6250. The factors of 6250 in pairs are:

  • 1 × 6250 = (1, 6250)
  • 2 × 3125 = (2, 3125)
  • 5 × 1250 = (5, 1250)
  • 10 × 625 = (10, 625)
  • 25 × 250 = (25, 250)
  • 50 × 125 = (50, 125)

Negative pair factors of 6250 are:

  • -1 × -6250 = (-1, -6250)
  • -2 × -3125 = (-2, -3125)
  • -5 × -1250 = (-5, -1250)
  • -10 × -625 = (-10, -625)
  • -25 × -250 = (-25, -250)
  • -50 × -125 = (-50, -125)

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

Factors of 6250 Solved Examples

  1. Example 1: How many factors are there for 6250?

    Solution:

    The factors of 6250 are too many, therefore if we can find the prime factorization of 6250, 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 6250 = 21 × 55
    Therefore, the total number of factors are (1 + 1) × (5 + 1) = 2 × 6 = 12

  2. Example 2: Find the LCM and Greatest Common Factor (GCF) of 6250 and 3282.

    Solution:

    The factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 and factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282.

    Therefore, the LCM of 6250 and 3282 is 10256250 and Greatest Common Factor (GCF) of 6250 and 3282 is 2.

  3. Example 3: Find if 5, 10, 25, 125, 3125, 3436 and 6250 are factors of 6250.

    Solution:

    When we divide 6250 by 3436 it leaves a remainder. Therefore, the number 3436 is not a factor of 6250. All numbers except 3436 are factors of 6250.

  4. Example 4: Find the product of all the prime factors of 6250.

    Solution:

    Since, the prime factors of 6250 are 2, 5. Therefore, the product of prime factors = 2 × 5 = 10.

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FAQs on Factors of 6250

What are the Factors of 6250?

The factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 and its negative factors are -1, -2, -5, -10, -25, -50, -125, -250, -625, -1250, -3125, -6250.

What is the Sum of all the Factors of 6250?

Sum of all factors of 6250 = (21 + 1 - 1)/(2 - 1) × (55 + 1 - 1)/(5 - 1) = 11718

What are Pair Factors of 6250?

The pair factors of 6250 are (1, 6250), (2, 3125), (5, 1250), (10, 625), (25, 250), (50, 125).

What is the Greatest Common Factor of 6250 and 5934?

The factors of 6250 and 5934 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 and 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934 respectively.

Common factors of 6250 and 5934 are [1, 2].

Hence, the Greatest Common Factor of 6250 and 5934 is 2.

How Many Factors of 6250 are also Factors of 2739?

Since, the factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 and factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739. Hence, 6250 and 2739 have only one common factor which is 1. Therefore, 6250 and 2739 are co-prime.

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