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How many factor pairs does 91 have?
One pair: it's a prime number.
What number has 10 factor pairs?
560 is one such.
What is the difference between factor pairs and distinct factor pairs?
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.
Can you stop checking for factor pairs when you find a pair that repeats?
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.
Is the number of factor pairs for a number equal to the number arrays for the same number?
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.
