Prime Factorization of 3375

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Prime Factors of

What is the Prime Factorization of 3375?

Answer: Prime Factors of 3375: 3, 3, 3, 5, 5, 5

or

33 × 53

Explanation of number 3375 Prime Factorization

Prime Factorization of 3375 it is expressing 3375 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3375.

Since number 3375 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3375, we have to iteratively divide 3375 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3375:

The smallest Prime Number which can divide 3375 without a remainder is 3. So the first calculation step would look like:

3375 ÷ 3 = 1125

Now we repeat this action until the result equals 1:

1125 ÷ 3 = 375

375 ÷ 3 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 3375. It is: 3, 3, 3, 5, 5, 5

Or you may also write it in exponential form: 33 × 53

Prime Factor Tree of 3375

We may also express the prime factorization of 3375 as a Factor Tree:

Related Calculations

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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 3375? (The answer is: 3, 3, 3, 5, 5, 5). Pick the number for factorization (e.g. '3375'). 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
336025 × 3 × 5 × 7
33613361
33622 × 412
33633, 19, 59
336422 × 292
33655, 673
33662 × 32 × 11 × 17
33677, 13, 37
336823 × 421
33693, 1123
33702, 5, 337
33713371
337222 × 3 × 281
33733373
33742, 7, 241
337533 × 53
337624 × 211
337711, 307
33782, 3, 563
337931, 109
338022 × 5 × 132
33813 × 72 × 23
33822, 19, 89
338317, 199
338423 × 32 × 47
33855, 677
33862, 1693
33873, 1129
338822 × 7 × 112
33893389

FAQ

What is the Prime Factorization of 3375?

Prime Factors of 3375: 3, 3, 3, 5, 5, 5

How many prime factors does 3375 have?

Number 3375 has 6 Prime Factors

What is the Prime Factorization of 3375 in exponential form?

The Prime Factorization of the number 3375 in the exponential form is: 33 × 53

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