Prime Factorization of 248

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Prime Factors of

What is the Prime Factorization of 248?

Answer: Prime Factors of 248: 2, 2, 2, 31

or

23 × 31

Explanation of number 248 Prime Factorization

Prime Factorization of 248 it is expressing 248 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 248.

Since number 248 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 248, we have to iteratively divide 248 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 248:

The smallest Prime Number which can divide 248 without a remainder is 2. So the first calculation step would look like:

248 ÷ 2 = 124

Now we repeat this action until the result equals 1:

124 ÷ 2 = 62

62 ÷ 2 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 248. It is: 2, 2, 2, 31

Or you may also write it in exponential form: 23 × 31

Prime Factor Tree of 248

We may also express the prime factorization of 248 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 248? (The answer is: 2, 2, 2, 31). Pick the number for factorization (e.g. '248'). 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
233233
2342 × 32 × 13
2355, 47
23622 × 59
2373, 79
2382, 7, 17
239239
24024 × 3 × 5
241241
2422 × 112
24335
24422 × 61
2455 × 72
2462, 3, 41
24713, 19
24823 × 31
2493, 83
2502 × 53
251251
25222 × 32 × 7
25311, 23
2542, 127
2553, 5, 17
25628
257257
2582, 3, 43
2597, 37
26022 × 5 × 13
26132 × 29
2622, 131

FAQ

What is the Prime Factorization of 248?

Prime Factors of 248: 2, 2, 2, 31

How many prime factors does 248 have?

Number 248 has 4 Prime Factors

What is the Prime Factorization of 248 in exponential form?

The Prime Factorization of the number 248 in the exponential form is: 23 × 31

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