Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, and 1800
Hence, Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, and 1800
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 1800 using the division method, follow these steps:
So, the prime factorization of 1800 is, 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5.
We can follow the same procedure using the factor tree of 1800 as shown below:
So, the prime factorization of 1800 is, 1800 = 2 x 2 x 2 x 3 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 1800 would be the two numbers which, when multiplied, give 1800 as the result.
The following table represents the calculation of factors of 1800 in pairs:
Factor Pair | Pair Factorization |
---|---|
1 and 1800 | 1 x 1800 = 1800 |
2 and 900 | 2 x 900 = 1800 |
3 and 600 | 3 x 600 = 1800 |
4 and 450 | 4 x 450 = 1800 |
5 and 360 | 5 x 360 = 1800 |
6 and 300 | 6 x 300 = 1800 |
8 and 225 | 8 x 225 = 1800 |
9 and 200 | 9 x 200 = 1800 |
10 and 180 | 10 x 180 = 1800 |
12 and 150 | 12 x 150 = 1800 |
15 and 120 | 15 x 120 = 1800 |
18 and 100 | 18 x 100 = 1800 |
20 and 90 | 20 x 90 = 1800 |
24 and 75 | 24 x 75 = 1800 |
25 and 72 | 25 x 72 = 1800 |
30 and 60 | 30 x 60 = 1800 |
36 and 50 | 36 x 50 = 1800 |
40 and 45 | 40 x 45 = 1800 |
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 1800. They are called negative pair factors.
Hence, the negative pairs of 1800 would be ( -1 , -1800 ) , ( -2 , -900 ) , ( -3 , -600 ) , ( -4 , -450 ) , ( -5 , -360 ) , ( -6 , -300 ) , ( -8 , -225 ) , ( -9 , -200 ) , ( -10 , -180 ) , ( -12 , -150 ) , ( -15 , -120 ) , ( -18 , -100 ) , ( -20 , -90 ) , ( -24 , -75 ) , ( -25 , -72 ) , ( -30 , -60 ) , ( -36 , -50 ) and ( -40 , -45 ) .
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.
Smallest prime factor of 1800 is 2.
No 1800 is not a perfect square.
First five multiples of 1800 are 3600, 5400, 7200, 9000, 10800.
Prime factorization of 1800 is 2 x 2 x 2 x 3 x 3 x 5 x 5.
Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.
Factors of -1800 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -150, -180, -200, -225, -300, -360, -450, -600, -900, -1800.
Yes 1800 is a whole number.
The greatest factor of 1800 is 900.
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.Prime factors of 1800 are 2, 2, 2, 3, 3, 5, 5.
Prime factors of 1800 are 2, 2, 2, 3, 3, 5, 5.Hence, the product of prime factors of 30.
Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.Even factors of 1800 are 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 50, 60, 72, 90, 100, 120, 150, 180, 200, 300, 360, 450, 600, 900, 1800.Hence, product of even factors of 1800 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 24 x 30 x 36 x 40 x 50 x 60 x 72 x 90 x 100 x 120 x 150 x 180 x 200 x 300 x 360 x 450 x 600 x 900 x 1800 = 1.0234903690774693e+48.
Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1800 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 50 + 60 + 72 + 75 + 90 + 100 + 120 + 150 + 180 + 200 + 225 + 300 + 360 + 450 + 600 + 900 + 1800 = 6045.Hence, the mean of factors of 1800 is 6045 ÷ 36 = 167.92.
Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -150, -180, -200, -225, -300, -360, -450, -600, -900, -1800.
Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.So there are in total 36 factors.
Prime factors of 1800 are 2, 2, 2, 3, 3, 5, 5.So in exponential form it can be written as 23 x 32 x 52.
35 factor(s) of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900.