Is 496 a prime number

Updated: 8/18/2019

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Q: Is 496 a prime number

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What are the 'perfect' number between 400 and 500?

There is only one Perfect Number within this range : 496. If 2ⁿ - 1 is prime then 2ⁿ⁻¹(2ⁿ - 1) is a perfect number. In this instance n = 5 then, 2⁴(2⁵ - 1) = 16 x 31 = 496...........and 31 is a prime number.

What is the prime factorization of 496 in exponential form?

It is: 24*31 = 496

What two prime numbers multiplied together make 496?

496 has two prime factors, but no prime factor pair. 2 x 2 x 2 x 2 x 31 = 496

What is the prime factorization for 496?

It is: 2*2*2*2*31 = 496

Is 496 a deficient number?

No - 496 is a perfect number.

How is 496 a perfect number?

The factors of 496 (excluding itself) are: 1, 2, 4, 8, 16, 31, 62, 124, 248 whose sum is 496. -------------------------------------------- The prime factorization of 496 is 496 = 24*31. If we take σ(496) (sum of all divisors of 496), this is equal to σ(496) = σ(24)σ(31) (this is a useful property, σ(ab) = σ(a)σ(b) for relatively prime a,b) Since σ(24) = 1+2+4+8+16 = 31 and σ(31) = 1+31 = 32, σ(496) = 31*32 = 2(496), so 496 is perfect.

How do you round off 495.535 to the nearest whole number?

496

How do you write 496 as a product of its prime factors?

2 x 2 x 2 x 2 x 31 = 496

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What are the nine factors of the number 496?

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496.