Factors of 600 in pair

Go back to 'All factors of a number in pair pages' >

Factors of 600 in pair are (1, 600) , (2, 300) , (3, 200) , (4, 150) , (5, 120) , (6, 100) , (8, 75) , (10, 60) , (12, 50) , (15, 40) , (20, 30) and (24, 25)

How to find factors of a number in pair

Steps to find factors of 600 in pair

Find all the numbers that would divide 600 without leaving any remainder. Starting with the number 1 upto 300 (half of 600). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 600, and read off the answer!

Example: Find factors of 600 in pair

Factor Pair	Pair Factorization
1 and 600	1 x 600 = 600
2 and 300	2 x 300 = 600
3 and 200	3 x 200 = 600
4 and 150	4 x 150 = 600
5 and 120	5 x 120 = 600
6 and 100	6 x 100 = 600
8 and 75	8 x 75 = 600
10 and 60	10 x 60 = 600
12 and 50	12 x 50 = 600
15 and 40	15 x 40 = 600
20 and 30	20 x 30 = 600
24 and 25	24 x 25 = 600

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 600. They are called negative pair factors.

Hence, the negative pairs of 600 would be ( -1 , -600 ) .

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 600 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 150 , 200 , 300 , 600. So, factors of 600 in pair are (1,600), (2,300), (3,200), (4,150), (5,120), (6,100), (8,75), (10,60), (12,50), (15,40), (20,30), (24,25).

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. 600 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 600.
Every number is a factor of zero (0), since 600 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, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600 are exact divisors of 600.
Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. Each factor divides 600 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600 are all less than or equal to 600.

Steps to find Factors of 600

Step 1. Find all the numbers that would divide 600 without leaving any remainder. Starting with the number 1 upto 300 (half of 600). The number 1 and the number itself are always factors of the given number.

600 ÷ 1 : Remainder = 0

600 ÷ 2 : Remainder = 0

600 ÷ 3 : Remainder = 0

600 ÷ 4 : Remainder = 0

600 ÷ 5 : Remainder = 0

600 ÷ 6 : Remainder = 0

600 ÷ 8 : Remainder = 0

600 ÷ 10 : Remainder = 0

600 ÷ 12 : Remainder = 0

600 ÷ 15 : Remainder = 0

600 ÷ 20 : Remainder = 0

600 ÷ 24 : Remainder = 0

600 ÷ 25 : Remainder = 0

600 ÷ 30 : Remainder = 0

600 ÷ 40 : Remainder = 0

600 ÷ 50 : Remainder = 0

600 ÷ 60 : Remainder = 0

600 ÷ 75 : Remainder = 0

600 ÷ 100 : Remainder = 0

600 ÷ 120 : Remainder = 0

600 ÷ 150 : Remainder = 0

600 ÷ 200 : Remainder = 0

600 ÷ 300 : Remainder = 0

600 ÷ 600 : Remainder = 0

Hence, Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600

Frequently Asked Questions

Is 600 a composite number?
Yes 600 is a composite number.
Is 600 a prime number?
No 600 is not a prime number.
What is the mean of factors of 600?
Factors of 600 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 150 , 200 , 300 , 600. therefore mean of factors of 600 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 25 + 30 + 40 + 50 + 60 + 75 + 100 + 120 + 150 + 200 + 300 + 600) / 24 = 77.50.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 600 but she is finding it difficult. Can you help her find out?

Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. So, factors of 600 in pair are (1,600), (2,300), (3,200), (4,150), (5,120), (6,100), (8,75), (10,60), (12,50), (15,40), (20,30), (24,25).

Sammy wants to write all the negative factors of 600 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 600 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -25, -30, -40, -50, -60, -75, -100, -120, -150, -200, -300, -600. Hence, factors of 600 in pair are (-1,-600), (-2,-300), (-3,-200), (-4,-150), (-5,-120), (-6,-100), (-8,-75), (-10,-60), (-12,-50), (-15,-40), (-20,-30), (-24,-25).

Help Deep in writing the positive factors of 600 in pair and negative factor of 600 in pair.

Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. Positive factors of 600 in pair are (1,600), (2,300), (3,200), (4,150), (5,120), (6,100), (8,75), (10,60), (12,50), (15,40), (20,30), (24,25). Negative factors of 600 in pair are (-1,-600), (-2,-300), (-3,-200), (-4,-150), (-5,-120), (-6,-100), (-8,-75), (-10,-60), (-12,-50), (-15,-40), (-20,-30), (-24,-25).

Find the product of all factors of 600.

Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. So the product of all factors of 600 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 20 x 24 x 25 x 30 x 40 x 50 x 60 x 75 x 100 x 120 x 150 x 200 x 300 x 600 = 2.176782336e+33.

Find the product of all prime factors of 600.

Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. Prime factors are 2, 2, 2, 3, 5, 5. So, the product of all prime factors of 600 would be 2 x 2 x 2 x 3 x 5 x 5 = 600.

Can you help Sammy list the factors of 600 and also find the factor pairs?

Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600.
Factors of 600 in pair are (1,600), (2,300), (3,200), (4,150), (5,120), (6,100), (8,75), (10,60), (12,50), (15,40), (20,30), (24,25).

Sammy has 600 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 600 blocks in all possible ways to form a rectangle, we need to calculate factors of 600 in pair. Therefore, factors of 600 in pair are (1,600), (2,300), (3,200), (4,150), (5,120), (6,100), (8,75), (10,60), (12,50), (15,40), (20,30), (24,25)