Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, and 1400
Hence, Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, and 1400
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 1400 using the division method, follow these steps:
So, the prime factorization of 1400 is, 1400 = 2 x 2 x 2 x 5 x 5 x 7.
We can follow the same procedure using the factor tree of 1400 as shown below:
So, the prime factorization of 1400 is, 1400 = 2 x 2 x 2 x 5 x 5 x 7.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1400 would be the two numbers which, when multiplied, give 1400 as the result.
The following table represents the calculation of factors of 1400 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 1400 | 1 x 1400 = 1400 |
| 2 and 700 | 2 x 700 = 1400 |
| 4 and 350 | 4 x 350 = 1400 |
| 5 and 280 | 5 x 280 = 1400 |
| 7 and 200 | 7 x 200 = 1400 |
| 8 and 175 | 8 x 175 = 1400 |
| 10 and 140 | 10 x 140 = 1400 |
| 14 and 100 | 14 x 100 = 1400 |
| 20 and 70 | 20 x 70 = 1400 |
| 25 and 56 | 25 x 56 = 1400 |
| 28 and 50 | 28 x 50 = 1400 |
| 35 and 40 | 35 x 40 = 1400 |
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 1400. They are called negative pair factors.
Hence, the negative pairs of 1400 would be ( -1 , -1400 ) , ( -2 , -700 ) , ( -4 , -350 ) , ( -5 , -280 ) , ( -7 , -200 ) , ( -8 , -175 ) , ( -10 , -140 ) , ( -14 , -100 ) , ( -20 , -70 ) , ( -25 , -56 ) , ( -28 , -50 ) and ( -35 , -40 ) .
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.
Pair factors of 1400 are (1,1400), (2,700), (4,350), (5,280), (7,200), (8,175), (10,140), (14,100), (20,70), (25,56), (28,50), (35,40).
First five multiples of 1400 are 2800, 4200, 5600, 7000, 8400.
Two numbers that make 1400 are 2 and 700.
The sum of all factors of 1400 is 3720.
Factors of -1400 are -1, -2, -4, -5, -7, -8, -10, -14, -20, -25, -28, -35, -40, -50, -56, -70, -100, -140, -175, -200, -280, -350, -700, -1400.
Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.
No 1400 is not a perfect square.
Smallest prime factor of 1400 is 2.
The greatest factor of 1400 is 700.
Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.Odd factors of 1400 are 1, 5, 7, 25, 35, 175.Hence product of odd factors of 1400 is; 1 x 5 x 7 x 25 x 35 x 175 = 5359375.
Prime factors of 1400 are 2, 2, 2, 5, 5, 7.So in exponential form it can be written as 23 x 52 x 7.
Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.So there are in total 24 factors.
23 factor(s) of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700.
Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.Prime factors of 1400 are 2, 2, 2, 5, 5, 7
Prime factorization of 1400 is 2 x 2 x 2 x 5 x 5 x 7 = 23 x 52 x 7.
Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.Even factors of 1400 are 2, 4, 8, 10, 14, 20, 28, 40, 50, 56, 70, 100, 140, 200, 280, 350, 700, 1400.Hence, product of even factors of 1400 is; 2 x 4 x 8 x 10 x 14 x 20 x 28 x 40 x 50 x 56 x 70 x 100 x 140 x 200 x 280 x 350 x 700 x 1400 = 1.0578455953408e+31.