Factors of 1000 in pair

Steps to find factors of 1000 in pair

Find all the numbers that would divide 1000 without leaving any remainder. Starting with the number 1 upto 500 (half of 1000). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1000, and read off the answer!

Example: Find factors of 1000 in pair

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

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 1000. They are called negative pair factors.

Hence, the negative pairs of 1000 would be ( -1 , -1000 ) .

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

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. 1000 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1000.
Every number is a factor of zero (0), since 1000 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, 1000 are exact divisors of 1000.
Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. Each factor divides 1000 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, 1000 are all less than or equal to 1000.

Steps to find Factors of 1000

Step 1. Find all the numbers that would divide 1000 without leaving any remainder. Starting with the number 1 upto 500 (half of 1000). The number 1 and the number itself are always factors of the given number.

1000 ÷ 1 : Remainder = 0

1000 ÷ 2 : Remainder = 0

1000 ÷ 4 : Remainder = 0

1000 ÷ 5 : Remainder = 0

1000 ÷ 8 : Remainder = 0

1000 ÷ 10 : Remainder = 0

1000 ÷ 20 : Remainder = 0

1000 ÷ 25 : Remainder = 0

1000 ÷ 40 : Remainder = 0

1000 ÷ 50 : Remainder = 0

1000 ÷ 100 : Remainder = 0

1000 ÷ 125 : Remainder = 0

1000 ÷ 200 : Remainder = 0

1000 ÷ 250 : Remainder = 0

1000 ÷ 500 : Remainder = 0

1000 ÷ 1000 : Remainder = 0

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

Frequently Asked Questions

Is 1000 a composite number?
Yes 1000 is a composite number.
Is 1000 a prime number?
No 1000 is not a prime number.
Write five multiples of 1000.
Five multiples of 1000 are 2000, 3000, 4000, 5000, 6000.
Write all odd factors of 1000?
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
Odd factors of 1000 are 1 , 5 , 25 , 125.
What is the mean of all prime factors of 1000?
Factors of 1000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 1000. Prime factors of 1000 are 2 , 2 , 2 , 5 , 5 , 5. Therefore mean of prime factors of 1000 is (2 + 2 + 2 + 5 + 5 + 5) / 6 = 3.50.

Examples of Factors

Ariel has been asked to write all factor pairs of 1000 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 1000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 1000 in pair and negative factor of 1000 in pair.

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

Find the product of all factors of 1000.

Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. So the product of all factors of 1000 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 1000 = 1e+24.

Find the product of all prime factors of 1000.

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

Can you help Sammy list the factors of 1000 and also find the factor pairs?

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

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

How to find factors of a number in pair