Factors of 5000 in pair are (1, 5000) , (2, 2500) , (4, 1250) , (5, 1000) , (8, 625) , (10, 500) , (20, 250) , (25, 200) , (40, 125) and (50, 100)

How to find factors of a number in pair

Steps to find factors of 5000 in pair

Example: Find factors of 5000 in pair

Factor Pair Pair Factorization
1 and 5000 1 x 5000 = 5000
2 and 2500 2 x 2500 = 5000
4 and 1250 4 x 1250 = 5000
5 and 1000 5 x 1000 = 5000
8 and 625 8 x 625 = 5000
10 and 500 10 x 500 = 5000
20 and 250 20 x 250 = 5000
25 and 200 25 x 200 = 5000
40 and 125 40 x 125 = 5000
50 and 100 50 x 100 = 5000

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 5000. They are called negative pair factors.

Hence, the negative pairs of 5000 would be ( -1 , -5000 ) .

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 5000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 5000. So, factors of 5000 in pair are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100).

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. 5000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5000.
  • Every number is a factor of zero (0), since 5000 x 0 = 0.
  • 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, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000 are exact divisors of 5000.
  • Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. Each factor divides 5000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000 are all less than or equal to 5000.

Steps to find Factors of 5000

  • Step 1. Find all the numbers that would divide 5000 without leaving any remainder. Starting with the number 1 upto 2500 (half of 5000). The number 1 and the number itself are always factors of the given number.
    5000 ÷ 1 : Remainder = 0
    5000 ÷ 2 : Remainder = 0
    5000 ÷ 4 : Remainder = 0
    5000 ÷ 5 : Remainder = 0
    5000 ÷ 8 : Remainder = 0
    5000 ÷ 10 : Remainder = 0
    5000 ÷ 20 : Remainder = 0
    5000 ÷ 25 : Remainder = 0
    5000 ÷ 40 : Remainder = 0
    5000 ÷ 50 : Remainder = 0
    5000 ÷ 100 : Remainder = 0
    5000 ÷ 125 : Remainder = 0
    5000 ÷ 200 : Remainder = 0
    5000 ÷ 250 : Remainder = 0
    5000 ÷ 500 : Remainder = 0
    5000 ÷ 625 : Remainder = 0
    5000 ÷ 1000 : Remainder = 0
    5000 ÷ 1250 : Remainder = 0
    5000 ÷ 2500 : Remainder = 0
    5000 ÷ 5000 : Remainder = 0

Hence, Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, and 5000

Frequently Asked Questions

  • Is 5000 a composite number?

    Yes 5000 is a composite number.

  • Is 5000 a prime number?

    No 5000 is not a prime number.

  • Is 5000 a perfect square?

    No 5000 is not a perfect square.

  • Write five multiples of 5000.

    Five multiples of 5000 are 10000, 15000, 20000, 25000, 30000.

  • Write all odd factors of 5000?

    The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
    Odd factors of 5000 are 1 , 5 , 25 , 125 , 625.

Examples of Factors

Ariel has been asked to write all factor pairs of 5000 but she is finding it difficult. Can you help her find out?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. So, factors of 5000 in pair are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100).

Sammy wants to write all the negative factors of 5000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5000 are -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -625, -1000, -1250, -2500, -5000. Hence, factors of 5000 in pair are (-1,-5000), (-2,-2500), (-4,-1250), (-5,-1000), (-8,-625), (-10,-500), (-20,-250), (-25,-200), (-40,-125), (-50,-100).

Help Deep in writing the positive factors of 5000 in pair and negative factor of 5000 in pair.

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. Positive factors of 5000 in pair are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100). Negative factors of 5000 in pair are (-1,-5000), (-2,-2500), (-4,-1250), (-5,-1000), (-8,-625), (-10,-500), (-20,-250), (-25,-200), (-40,-125), (-50,-100).

Find the product of all factors of 5000.

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. So the product of all factors of 5000 would be 1 x 2 x 4 x 5 x 8 x 10 x 20 x 25 x 40 x 50 x 100 x 125 x 200 x 250 x 500 x 625 x 1000 x 1250 x 2500 x 5000 = 9.765625000000001e+36.

Find the product of all prime factors of 5000.

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. Prime factors are 2, 2, 2, 5, 5, 5, 5. So, the product of all prime factors of 5000 would be 2 x 2 x 2 x 5 x 5 x 5 x 5 = 5000.

Can you help Sammy list the factors of 5000 and also find the factor pairs?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
Factors of 5000 in pair are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100).

Sammy has 5000 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 5000 blocks in all possible ways to form a rectangle, we need to calculate factors of 5000 in pair. Therefore, factors of 5000 in pair are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100)