Prime Factorization of 3225

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Prime Factors of

What is the Prime Factorization of 3225?

Answer: Prime Factors of 3225: 3, 5, 5, 43

or

3 × 52 × 43

Explanation of number 3225 Prime Factorization

Prime Factorization of 3225 it is expressing 3225 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3225.

Since number 3225 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3225, we have to iteratively divide 3225 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3225:

The smallest Prime Number which can divide 3225 without a remainder is 3. So the first calculation step would look like:

3225 ÷ 3 = 1075

Now we repeat this action until the result equals 1:

1075 ÷ 5 = 215

215 ÷ 5 = 43

43 ÷ 43 = 1

Now we have all the Prime Factors for number 3225. It is: 3, 5, 5, 43

Or you may also write it in exponential form: 3 × 52 × 43

Prime Factor Tree of 3225

We may also express the prime factorization of 3225 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 3225? (The answer is: 3, 5, 5, 43). Pick the number for factorization (e.g. '3225'). 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
32102, 3, 5, 107
3211132 × 19
321222 × 11 × 73
321333 × 7 × 17
32142, 1607
32155, 643
321624 × 3 × 67
32173217
32182, 1609
32193, 29, 37
322022 × 5 × 7 × 23
32213221
32222 × 32 × 179
322311, 293
322423 × 13 × 31
32253 × 52 × 43
32262, 1613
32277, 461
322822 × 3 × 269
32293229
32302, 5, 17, 19
323132 × 359
323225 × 101
323353, 61
32342 × 3 × 72 × 11
32355, 647
323622 × 809
32373, 13, 83
32382, 1619
323941, 79

FAQ

What is the Prime Factorization of 3225?

Prime Factors of 3225: 3, 5, 5, 43

How many prime factors does 3225 have?

Number 3225 has 4 Prime Factors

What is the Prime Factorization of 3225 in exponential form?

The Prime Factorization of the number 3225 in the exponential form is: 3 × 52 × 43

See Also