Prime Factorization of 987

What is the Prime Factorization of 987?

Answer: Prime Factors of 987: 3, 7, 47

Explanation of number 987 Prime Factorization

Prime Factorization of 987 it is expressing 987 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 987.

Since number 987 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 987, we have to iteratively divide 987 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 987:

The smallest Prime Number which can divide 987 without a remainder is 3. So the first calculation step would look like:

987 ÷ 3 = 329

Now we repeat this action until the result equals 1:

329 ÷ 7 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 987. It is: 3, 7, 47

Prime Factor Tree of 987

We may also express the prime factorization of 987 as a Factor Tree:

Prime factors of 987 factorization tree of 987

Prime Factorization Table

NumberPrime Factors
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
9855, 197
9862, 17, 29
3, 7, 47
98822 × 13 × 19
98923, 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

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 987? (The answer is: 3, 7, 47). Pick the number for factorization (e.g. '987'). 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 987?

Prime Factors of 987: 3, 7, 47

How many prime factors does 987 have?

Number 987 has 3 Prime Factors