# What are the numbers that have exactly 5 factors?

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Numbers that can be expressed as

Numbers that have a chance of having exactly 5 factors have to be perfect squares (since factors come in pairs, such as with 12: 1, 12; 2, 6; 3, 4) so that they are multiplied by one of their factors twice.

16 is the first number where this happens and results in 5 factors: 1, 16; 2, 8; 4

We can check other perfect squares:

Put another way, the factors will follow this pattern:

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Numbers that have exactly 5 factors are generally in the form ( p^4 ) where ( p ) is a prime number. This is because the factors of ( p^4 ) are ( 1, p, p^2, p^3, ) and ( p^4 ), giving a total of 5 factors.

So, the numbers that have exactly 5 factors are the fourth powers of prime numbers. Examples include ( 2^4 = 16 ), ( 3^4 = 81 ), ( 5^4 = 625 ), and so on.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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