Prime Factorization of 989

What is the Prime Factorization of 989?

Answer: Prime Factors of 989: 23, 43

Explanation of number 989 Prime Factorization

Prime Factorization of 989 it is expressing 989 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 989.

Since number 989 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 989, we have to iteratively divide 989 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 989:

The smallest Prime Number which can divide 989 without a remainder is 23. So the first calculation step would look like:

989 ÷ 23 = 43

Now we repeat this action until the result equals 1:

43 ÷ 43 = 1

Now we have all the Prime Factors for number 989. It is: 23, 43

Prime Factor Tree of 989

We may also express the prime factorization of 989 as a Factor Tree:

Prime factors of 989 factorization tree of 989

Prime Factorization Table

NumberPrime Factors
9742, 487
3 × 52 × 13
24 × 61
977
9782, 3, 163
97911, 89
22 × 5 × 72
32 × 109
9822, 491
983
98423 × 3 × 41
9855, 197
9862, 17, 29
3, 7, 47
98822 × 13 × 19
23, 43
2 × 32 × 5 × 11
991
99225 × 31
3, 331
9942, 7, 71
9955, 199
22 × 3 × 83
997
2, 499
33 × 37
23 × 53
7, 11, 13
10022, 3, 167
100317, 59

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 989? (The answer is: 23, 43). Pick the number for factorization (e.g. '989'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 989?

Prime Factors of 989: 23, 43

How many prime factors does 989 have?

Number 989 has 2 Prime Factors