Prime Factorization of 972

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Prime Factors of

What is the Prime Factorization of 972?

Answer: Prime Factors of 972: 2, 2, 3, 3, 3, 3, 3

or

22 × 35

Explanation of number 972 Prime Factorization

Prime Factorization of 972 it is expressing 972 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 972.

Since number 972 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 972, we have to iteratively divide 972 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 972:

The smallest Prime Number which can divide 972 without a remainder is 2. So the first calculation step would look like:

972 ÷ 2 = 486

Now we repeat this action until the result equals 1:

486 ÷ 2 = 243

243 ÷ 3 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 972. It is: 2, 2, 3, 3, 3, 3, 3

Or you may also write it in exponential form: 22 × 35

Prime Factor Tree of 972

We may also express the prime factorization of 972 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 972? (The answer is: 2, 2, 3, 3, 3, 3, 3). Pick the number for factorization (e.g. '972'). 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
9573, 11, 29
9582, 479
9597, 137
96026 × 3 × 5
961312
9622, 13, 37
96332 × 107
96422 × 241
9655, 193
9662, 3, 7, 23
967967
96823 × 112
9693, 17, 19
9702, 5, 97
971971
97222 × 35
9737, 139
9742, 487
9753 × 52 × 13
97624 × 61
977977
9782, 3, 163
97911, 89
98022 × 5 × 72
98132 × 109
9822, 491
983983
98423 × 3 × 41
9855, 197
9862, 17, 29

FAQ

What is the Prime Factorization of 972?

Prime Factors of 972: 2, 2, 3, 3, 3, 3, 3

How many prime factors does 972 have?

Number 972 has 7 Prime Factors

What is the Prime Factorization of 972 in exponential form?

The Prime Factorization of the number 972 in the exponential form is: 22 × 35

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