Prime Factorization of 969

What is the Prime Factorization of 969?

Answer: Prime Factors of 969: 3, 17, 19

Explanation of number 969 Prime Factorization

Prime Factorization of 969 it is expressing 969 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 969.

Since number 969 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 969, we have to iteratively divide 969 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 969:

The smallest Prime Number which can divide 969 without a remainder is 3. So the first calculation step would look like:

969 ÷ 3 = 323

Now we repeat this action until the result equals 1:

323 ÷ 17 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 969. It is: 3, 17, 19

Prime Factor Tree of 969

We may also express the prime factorization of 969 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 969? (The answer is: 3, 17, 19). Pick the number for factorization (e.g. '969'). 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
2 × 32 × 53
9555, 191
95622 × 239
3, 11, 29
9582, 479
9597, 137
26 × 3 × 5
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

FAQ

What is the Prime Factorization of 969?

Prime Factors of 969: 3, 17, 19

How many prime factors does 969 have?

Number 969 has 3 Prime Factors