Prime Factorization of 1025

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Prime Factors of

What is the Prime Factorization of 1025?

Answer: Prime Factors of 1025: 5, 5, 41

or

52 × 41

Explanation of number 1025 Prime Factorization

Prime Factorization of 1025 it is expressing 1025 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1025.

Since number 1025 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1025, we have to iteratively divide 1025 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1025:

The smallest Prime Number which can divide 1025 without a remainder is 5. So the first calculation step would look like:

1025 ÷ 5 = 205

Now we repeat this action until the result equals 1:

205 ÷ 5 = 41

41 ÷ 41 = 1

Now we have all the Prime Factors for number 1025. It is: 5, 5, 41

Or you may also write it in exponential form: 52 × 41

Prime Factor Tree of 1025

We may also express the prime factorization of 1025 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 1025? (The answer is: 5, 5, 41). Pick the number for factorization (e.g. '1025'). 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
10102, 5, 101
10113, 337
101222 × 11 × 23
10131013
10142 × 3 × 132
10155, 7, 29
101623 × 127
101732 × 113
10182, 509
10191019
102022 × 3 × 5 × 17
10211021
10222, 7, 73
10233, 11, 31
1024210
102552 × 41
10262 × 33 × 19
102713, 79
102822 × 257
10293 × 73
10302, 5, 103
10311031
103223 × 3 × 43
10331033
10342, 11, 47
103532 × 5 × 23
103622 × 7 × 37
103717, 61
10382, 3, 173
10391039

FAQ

What is the Prime Factorization of 1025?

Prime Factors of 1025: 5, 5, 41

How many prime factors does 1025 have?

Number 1025 has 3 Prime Factors

What is the Prime Factorization of 1025 in exponential form?

The Prime Factorization of the number 1025 in the exponential form is: 52 × 41

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