There are 12 factor pairs of 990:
990 = 1 x 990
990 = 2 x 495
990 = 3 x 330
990 = 5 x 198
990 = 6 x 165
990 = 9 x 110
990 = 10 x 99
990 = 11 x 90
990 = 15 x 66
990 = 18 x 55
990 = 22 x 45
990 = 30 x 33
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Factor pairs of a number always come in the format of one factor larger than the square root of the number and one factor smaller than the square root of the number. In the case of square numbers, the square root is also a "factor pair."
9,801 happens to be the square of 99. So, once we find the factors of 99, we can divide them into 9,801 to find their pairs as factors of 9,801.
The prime factorization of 99 is 3^2*11 So, our factor pairs of 9,801 are as follows:
1*9,801
3*3,267
9*1,089
11*891
33*297
99*99
If you know the prime factorization of a number, you can find out the total number of factors.
Example: 9600
27 x 31 x 52
Add 1 to the exponents and multiply.
8 x 2 x 3 = 48 factors
The factors pairs for 9600 are:
(1, 9600)
(2, 4800)
(3, 3200)
(4, 2400)
(5, 1920)
(6, 1600)
(8, 1200)
(10, 960)
(12, 800)
(15, 640)
(16, 600)
(20, 480)
(24, 400)
(25, 384)
(30, 320)
(32, 300)
(40, 240)
(48, 200)
(50, 192)
(60, 160)
(64, 150)
(75, 128)
(80, 120)
(96, 100)
(960,1)(480,2)(320,3)(240,4)(192,5)(160,6)(120,8)(96,10)(80,12)(64,15)(60,16)(48,20)(40,24)(32,30)
The factor pairs of 960 are as follows: 1 960 2 480 3 320 4 240 5 192 6 160 8 120 10 96 12 80 15 64 16 60 20 48 24 40 30 32
The factor pairs of 51 are (1,51) and (17,3)
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
The factor pairs of 98 are (1,98), (2,49), and (7,14).
No. Factor pairs can be combined to create multiples.
One pair: it's a prime number.