Prime Factorization of 976

What is the Prime Factorization of 976?

Answer: Prime Factors of 976: 2, 2, 2, 2, 61

or

24 × 61

Explanation of number 976 Prime Factorization

Prime Factorization of 976 it is expressing 976 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 976.

Since number 976 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 976, we have to iteratively divide 976 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 976:

The smallest Prime Number which can divide 976 without a remainder is 2. So the first calculation step would look like:

976 ÷ 2 = 488

Now we repeat this action until the result equals 1:

488 ÷ 2 = 244

244 ÷ 2 = 122

122 ÷ 2 = 61

61 ÷ 61 = 1

Now we have all the Prime Factors for number 976. It is: 2, 2, 2, 2, 61

Or you may also write it in exponential form: 24 × 61

Prime Factor Tree of 976

We may also express the prime factorization of 976 as a Factor Tree:

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 976? (The answer is: 2, 2, 2, 2, 61). Pick the number for factorization (e.g. '976'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
312
9622, 13, 37
32 × 107
22 × 241
9655, 193
2, 3, 7, 23
967
23 × 112
3, 17, 19
9702, 5, 97
971971
22 × 35
9737, 139
9742, 487
3 × 52 × 13
24 × 61
977
9782, 3, 163
97911, 89
22 × 5 × 72
32 × 109
9822, 491
983
98423 × 3 × 41
5, 197
9862, 17, 29
3, 7, 47
22 × 13 × 19
23, 43
2 × 32 × 5 × 11

FAQ

What is the Prime Factorization of 976?

Prime Factors of 976: 2, 2, 2, 2, 61

How many prime factors does 976 have?

Number 976 has 5 Prime Factors

What is the Prime Factorization of 976 in exponential form?

The Prime Factorization of the number 976 in the exponential form is: 24 × 61