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The number 16 has an odd number of factors because it is a perfect square. When a number is a perfect square, it has an odd number of factors because each factor can be paired with another factor that is the square root of the number. In the case of 16, its factors are 1, 2, 4, 8, and 16, which can be paired as (1, 16), (2, 8), and (4). This results in an odd number of factors.
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Professor
Blake
RossWell, isn't that just a happy little question! When a number like 16 has an odd number of factors, it means that the number is a perfect square. You see, perfect squares have an odd number of factors because they have one factor that is repeated - like a little echo of the number itself. Just imagine 16 as a little square painting, surrounded by factors that dance around it in perfect harmony.
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What type of number has an odd number of factors example?
Square numbers have odd numbers of factors. Examples: 4, 9, 16
How can a number have an odd number of factors?
If a number is a perfect square, then you might say that one of its factors is a factor twice, so the list of factors has an odd number of entries. Example: 16. Factors of 16: 1, 2, 4, 8, 16. One of the "factor pairs" of 16 is [ 4 x 4 ], but '4' only shows up once on the list.
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
What two numbers of 24 32 48 45 60 and 72 have odd number of factors?
Square numbers have an odd number of factors. 1, 4, 9, 16...
Can an odd number have odd numbers of factors?
Yes. Square numbers have an odd number of factors. 49 has three factors.
