Prime Factorization of 245

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Prime Factors of

What is the Prime Factorization of 245?

Answer: Prime Factors of 245: 5, 7, 7

or

5 × 72

Explanation of number 245 Prime Factorization

Prime Factorization of 245 it is expressing 245 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 245.

Since number 245 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 245, we have to iteratively divide 245 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 245:

The smallest Prime Number which can divide 245 without a remainder is 5. So the first calculation step would look like:

245 ÷ 5 = 49

Now we repeat this action until the result equals 1:

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 245. It is: 5, 7, 7

Or you may also write it in exponential form: 5 × 72

Prime Factor Tree of 245

We may also express the prime factorization of 245 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 245? (The answer is: 5, 7, 7). Pick the number for factorization (e.g. '245'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
2302, 5, 23
2313, 7, 11
23223 × 29
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

FAQ

What is the Prime Factorization of 245?

Prime Factors of 245: 5, 7, 7

How many prime factors does 245 have?

Number 245 has 3 Prime Factors

What is the Prime Factorization of 245 in exponential form?

The Prime Factorization of the number 245 in the exponential form is: 5 × 72

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