Prime Factorization of 496

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Prime Factors of

What is the Prime Factorization of 496?

Answer: Prime Factors of 496: 2, 2, 2, 2, 31

or

24 × 31

Explanation of number 496 Prime Factorization

Prime Factorization of 496 it is expressing 496 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 496.

Since number 496 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 496, we have to iteratively divide 496 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 496:

The smallest Prime Number which can divide 496 without a remainder is 2. So the first calculation step would look like:

496 ÷ 2 = 248

Now we repeat this action until the result equals 1:

248 ÷ 2 = 124

124 ÷ 2 = 62

62 ÷ 2 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 496. It is: 2, 2, 2, 2, 31

Or you may also write it in exponential form: 24 × 31

Prime Factor Tree of 496

We may also express the prime factorization of 496 as a Factor Tree:

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About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 496? (The answer is: 2, 2, 2, 2, 31). Pick the number for factorization (e.g. '496'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
48113, 37
4822, 241
4833, 7, 23
48422 × 112
4855, 97
4862 × 35
487487
48823 × 61
4893, 163
4902 × 5 × 72
491491
49222 × 3 × 41
49317, 29
4942, 13, 19
49532 × 5 × 11
49624 × 31
4977, 71
4982, 3, 83
499499
50022 × 53
5013, 167
5022, 251
503503
50423 × 32 × 7
5055, 101
5062, 11, 23
5073 × 132
50822 × 127
509509
5102, 3, 5, 17

FAQ

What is the Prime Factorization of 496?

Prime Factors of 496: 2, 2, 2, 2, 31

How many prime factors does 496 have?

Number 496 has 5 Prime Factors

What is the Prime Factorization of 496 in exponential form?

The Prime Factorization of the number 496 in the exponential form is: 24 × 31

See Also