Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, and 2400
Hence, Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, and 2400
A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.
There are two different methods that can be used for the prime factorization.
To find the primefactors of 2400 using the division method, follow these steps:
So, the prime factorization of 2400 is, 2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.
We can follow the same procedure using the factor tree of 2400 as shown below:
So, the prime factorization of 2400 is, 2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 2400 would be the two numbers which, when multiplied, give 2400 as the result.
The following table represents the calculation of factors of 2400 in pairs:
Factor Pair | Pair Factorization |
---|---|
1 and 2400 | 1 x 2400 = 2400 |
2 and 1200 | 2 x 1200 = 2400 |
3 and 800 | 3 x 800 = 2400 |
4 and 600 | 4 x 600 = 2400 |
5 and 480 | 5 x 480 = 2400 |
6 and 400 | 6 x 400 = 2400 |
8 and 300 | 8 x 300 = 2400 |
10 and 240 | 10 x 240 = 2400 |
12 and 200 | 12 x 200 = 2400 |
15 and 160 | 15 x 160 = 2400 |
16 and 150 | 16 x 150 = 2400 |
20 and 120 | 20 x 120 = 2400 |
24 and 100 | 24 x 100 = 2400 |
25 and 96 | 25 x 96 = 2400 |
30 and 80 | 30 x 80 = 2400 |
32 and 75 | 32 x 75 = 2400 |
40 and 60 | 40 x 60 = 2400 |
48 and 50 | 48 x 50 = 2400 |
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 2400. They are called negative pair factors.
Hence, the negative pairs of 2400 would be ( -1 , -2400 ) , ( -2 , -1200 ) , ( -3 , -800 ) , ( -4 , -600 ) , ( -5 , -480 ) , ( -6 , -400 ) , ( -8 , -300 ) , ( -10 , -240 ) , ( -12 , -200 ) , ( -15 , -160 ) , ( -16 , -150 ) , ( -20 , -120 ) , ( -24 , -100 ) , ( -25 , -96 ) , ( -30 , -80 ) , ( -32 , -75 ) , ( -40 , -60 ) and ( -48 , -50 ) .
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.
Factors of -2400 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -150, -160, -200, -240, -300, -400, -480, -600, -800, -1200, -2400.
The sum of all factors of 2400 is 7812.
Prime factorization of 2400 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.
Pair factors of 2400 are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50).
First five multiples of 2400 are 4800, 7200, 9600, 12000, 14400, 16800.
Yes 2400 is a whole number.
Smallest prime factor of 2400 is 2.
First five multiples of 2400 are 4800, 7200, 9600, 12000, 14400.
Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Prime factors of 2400 are 2, 2, 2, 2, 2, 3, 5, 5.So in exponential form it can be written as 25 x 3 x 52.
Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.So there are in total 36 factors.
35 factor(s) of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200.
Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.Prime factors of 2400 are 2, 2, 2, 2, 2, 3, 5, 5
Prime factorization of 2400 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 25 x 3 x 52.
Prime factors of 2400 are 2, 2, 2, 2, 2, 3, 5, 5.Hence, the product of prime factors of 30.
Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.Even factors of 2400 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.Hence, product of even factors of 2400 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 50 x 60 x 80 x 96 x 100 x 120 x 150 x 160 x 200 x 240 x 300 x 400 x 480 x 600 x 800 x 1200 x 2400 = 1.6543163447903718e+55.