Oh, what a lovely question! When we talk about factor pairs for a number, we're looking at pairs of numbers that multiply together to give us that number. Arrays, on the other hand, are rectangular arrangements of objects. While the number of factor pairs for a number may not always be the same as the number of arrays for that number, both concepts help us explore the beauty of numbers in different ways.
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One pair: it's a prime number.
The number of numbers in the string; how long it is.
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.
No, you should continue checking for factor pairs even if you find a pair that repeats. A repeating pair indicates that the number is not a prime number, but there may be other factor pairs that have not been identified yet. It is important to exhaust all possible factor pairs to ensure that all factors of the number are identified accurately.
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The Number of factors, (That is the number of pairs, such as 2= 1x2, 2x1), is equal to the number of rectangular arrays which can be made for each composite number. As such, the number of factors in the number 9 is 3, (1,3,9), and the number of rectangular arrays is also three (1x9, 9x1,3x3). Hope this helps!
As I understand it, the number of factor pairs is equal to the number of rectangles.
its a factor with two pairs of the same number
These are the 16 factor pairs for the number 1,080:1080,1540,2360,3270,4216,5180,6135,8120,9108,1090,1272,1560,1854,2045,2440,2736,30
A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.
Number of factor pairs = number of rectangles
The number 18.
12 and 18 have three factor pairs.
76 has 3 factor pairs: (1,76), (2,38), (4,19).
12 and 18 have three factor pairs.
The factor pairs of 16 are (16,1)(8,2)(4,4)