Prime Factorization of 351

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Prime Factors of

What is the Prime Factorization of 351?

Answer: Prime Factors of 351: 3, 3, 3, 13

or

33 × 13

Explanation of number 351 Prime Factorization

Prime Factorization of 351 it is expressing 351 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 351.

Since number 351 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 351, we have to iteratively divide 351 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 351:

The smallest Prime Number which can divide 351 without a remainder is 3. So the first calculation step would look like:

351 ÷ 3 = 117

Now we repeat this action until the result equals 1:

117 ÷ 3 = 39

39 ÷ 3 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 351. It is: 3, 3, 3, 13

Or you may also write it in exponential form: 33 × 13

Prime Factor Tree of 351

We may also express the prime factorization of 351 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 351? (The answer is: 3, 3, 3, 13). Pick the number for factorization (e.g. '351'). 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
33624 × 3 × 7
337337
3382 × 132
3393, 113
34022 × 5 × 17
34111, 31
3422 × 32 × 19
34373
34423 × 43
3453, 5, 23
3462, 173
347347
34822 × 3 × 29
349349
3502 × 52 × 7
35133 × 13
35225 × 11
353353
3542, 3, 59
3555, 71
35622 × 89
3573, 7, 17
3582, 179
359359
36023 × 32 × 5
361192
3622, 181
3633 × 112
36422 × 7 × 13
3655, 73

FAQ

What is the Prime Factorization of 351?

Prime Factors of 351: 3, 3, 3, 13

How many prime factors does 351 have?

Number 351 has 4 Prime Factors

What is the Prime Factorization of 351 in exponential form?

The Prime Factorization of the number 351 in the exponential form is: 33 × 13

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