Prime Factorization of 1225

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Prime Factors of

What is the Prime Factorization of 1225?

Answer: Prime Factors of 1225: 5, 5, 7, 7

or

52 × 72

Explanation of number 1225 Prime Factorization

Prime Factorization of 1225 it is expressing 1225 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1225.

Since number 1225 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1225, we have to iteratively divide 1225 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1225:

The smallest Prime Number which can divide 1225 without a remainder is 5. So the first calculation step would look like:

1225 ÷ 5 = 245

Now we repeat this action until the result equals 1:

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 1225. It is: 5, 5, 7, 7

Or you may also write it in exponential form: 52 × 72

Prime Factor Tree of 1225

We may also express the prime factorization of 1225 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 1225? (The answer is: 5, 5, 7, 7). Pick the number for factorization (e.g. '1225'). 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
12102 × 5 × 112
12117, 173
121222 × 3 × 101
12131213
12142, 607
121535 × 5
121626 × 19
12171217
12182, 3, 7, 29
121923, 53
122022 × 5 × 61
12213, 11, 37
12222, 13, 47
12231223
122423 × 32 × 17
122552 × 72
12262, 613
12273, 409
122822 × 307
12291229
12302, 3, 5, 41
12311231
123224 × 7 × 11
123332 × 137
12342, 617
12355, 13, 19
123622 × 3 × 103
12371237
12382, 619
12393, 7, 59

FAQ

What is the Prime Factorization of 1225?

Prime Factors of 1225: 5, 5, 7, 7

How many prime factors does 1225 have?

Number 1225 has 4 Prime Factors

What is the Prime Factorization of 1225 in exponential form?

The Prime Factorization of the number 1225 in the exponential form is: 52 × 72

See Also