Prime Factorization of 945

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 945?

Answer: Prime Factors of 945: 3, 3, 3, 5, 7

or

33 × 5 × 7

Explanation of number 945 Prime Factorization

Prime Factorization of 945 it is expressing 945 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 945.

Since number 945 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 945, we have to iteratively divide 945 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 945:

The smallest Prime Number which can divide 945 without a remainder is 3. So the first calculation step would look like:

945 ÷ 3 = 315

Now we repeat this action until the result equals 1:

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 945. It is: 3, 3, 3, 5, 7

Or you may also write it in exponential form: 33 × 5 × 7

Prime Factor Tree of 945

We may also express the prime factorization of 945 as a Factor Tree:

Related Calculations

See Also

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 945? (The answer is: 3, 3, 3, 5, 7). Pick the number for factorization (e.g. '945'). 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
9302, 3, 5, 31
93172 × 19
93222 × 233
9333, 311
9342, 467
9355, 11, 17
93623 × 32 × 13
937937
9382, 7, 67
9393, 313
94022 × 5 × 47
941941
9422, 3, 157
94323, 41
94424 × 59
94533 × 5 × 7
9462, 11, 43
947947
94822 × 3 × 79
94913, 73
9502 × 52 × 19
9513, 317
95223 × 7 × 17
953953
9542 × 32 × 53
9555, 191
95622 × 239
9573, 11, 29
9582, 479
9597, 137

FAQ

What is the Prime Factorization of 945?

Prime Factors of 945: 3, 3, 3, 5, 7

How many prime factors does 945 have?

Number 945 has 5 Prime Factors

What is the Prime Factorization of 945 in exponential form?

The Prime Factorization of the number 945 in the exponential form is: 33 × 5 × 7

See Also