What is the prime factorization of 491?

Answer 1

It's prime factorization is itself, #491=491xx1#

Since 491 cannot be divided by any prime number less than 491, not even by 2, 3, 5, 7, 11, 13, or any other prime number, it is a prime number.

There is a quick method to test all prime numbers up to 491 instead of doing it by hand.

The concept is simple, if a number N can be written as #N=axxb# there are 3 cases, it's either :
#a and b# CAN'T be both bigger than #sqrt(N)# because then we'll have #axxb>N#
So we'll only need to test prime numbers smaller than #sqrt(N)#, if N is divided by one of them then it's not prime.
#sqrt(491)=22,15# so we only need to test the prime numbers :

Numbers 2, 3, 5, 7, 11, 13, 17, and 19.

With a calculator, you can determine that 491 is a prime number because it doesn't have any factors among these other numbers.

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Answer 2

The prime factorization of 491 is ( 491 = 491 ) because 491 is a prime number.

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Answer from HIX Tutor

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.

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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