Factors of 6250 in pair are (1, 6250) , (2, 3125) , (5, 1250) , (10, 625) , (25, 250) and (50, 125)

How to find factors of a number in pair

Steps to find factors of 6250 in pair

Example: Find factors of 6250 in pair

Factor Pair Pair Factorization
1 and 6250 1 x 6250 = 6250
2 and 3125 2 x 3125 = 6250
5 and 1250 5 x 1250 = 6250
10 and 625 10 x 625 = 6250
25 and 250 25 x 250 = 6250
50 and 125 50 x 125 = 6250

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 6250. They are called negative pair factors.

Hence, the negative pairs of 6250 would be ( -1 , -6250 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 6250 are 1 , 2 , 5 , 10 , 25 , 50 , 125 , 250 , 625 , 1250 , 3125 , 6250. So, factors of 6250 in pair are (1,6250), (2,3125), (5,1250), (10,625), (25,250), (50,125).

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

  • Each number is a factor of itself. Eg. 6250 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250 are exact divisors of 6250.
  • 1 is a factor of every number. Eg. 1 is a factor of 6250.
  • Every number is a factor of zero (0), since 6250 x 0 = 0.

Steps to find Factors of 6250

  • Step 1. Find all the numbers that would divide 6250 without leaving any remainder. Starting with the number 1 upto 3125 (half of 6250). The number 1 and the number itself are always factors of the given number.
    6250 ÷ 1 : Remainder = 0
    6250 ÷ 2 : Remainder = 0
    6250 ÷ 5 : Remainder = 0
    6250 ÷ 10 : Remainder = 0
    6250 ÷ 25 : Remainder = 0
    6250 ÷ 50 : Remainder = 0
    6250 ÷ 125 : Remainder = 0
    6250 ÷ 250 : Remainder = 0
    6250 ÷ 625 : Remainder = 0
    6250 ÷ 1250 : Remainder = 0
    6250 ÷ 3125 : Remainder = 0
    6250 ÷ 6250 : Remainder = 0

Hence, Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, and 6250

Frequently Asked Questions

  • Is 6250 a composite number?

    Yes 6250 is a composite number.

  • Is 6250 a prime number?

    No 6250 is not a prime number.

  • Write five multiples of 6250.

    Five multiples of 6250 are 12500, 18750, 25000, 31250, 37500.

  • Write all odd factors of 6250?

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

  • What is the mean of all prime factors of 6250?

    Factors of 6250 are 1 , 2 , 5 , 10 , 25 , 50 , 125 , 250 , 625 , 1250 , 3125 , 6250. Prime factors of 6250 are 2 , 5 , 5 , 5 , 5 , 5. Therefore mean of prime factors of 6250 is (2 + 5 + 5 + 5 + 5 + 5) / 6 = 4.50.

Examples of Factors

Ariel has been asked to write all factor pairs of 6250 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 6250 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 6250 in pair and negative factor of 6250 in pair.

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. Positive factors of 6250 in pair are (1,6250), (2,3125), (5,1250), (10,625), (25,250), (50,125). Negative factors of 6250 in pair are (-1,-6250), (-2,-3125), (-5,-1250), (-10,-625), (-25,-250), (-50,-125).

Find the product of all prime factors of 6250.

Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. Prime factors are 2, 5, 5, 5, 5, 5. So, the product of all prime factors of 6250 would be 2 x 5 x 5 x 5 x 5 x 5 = 6250.

Can you help Sammy list the factors of 6250 and also find the factor pairs?

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

Help Diji in finding factors of 6250 by Prime Factorization method and then sorting factors of 6250 in pairs.

Prime factorization of 6250 is 2 x 5 x 5 x 5 x 5 x 5. Factors of 6250 in pair can be written as (1,6250), (2,3125), (5,1250), (10,625), (25,250), (50,125).

Write the smallest prime factor of 6250.

Smallest prime factor of 6250 is 2.

Write the largest prime factor of 6250.

Largest prime factor of 6250 is 5.