Prime Factorization of 87

What is the Prime Factorization of 87?

Answer: Prime Factors of 87: 3, 29

Explanation of number 87 Prime Factorization

Prime Factorization of 87 it is expressing 87 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 87.

Since number 87 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 87, we have to iteratively divide 87 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 87:

The smallest Prime Number which can divide 87 without a remainder is 3. So the first calculation step would look like:

87 ÷ 3 = 29

Now we repeat this action until the result equals 1:

29 ÷ 29 = 1

Now we have all the Prime Factors for number 87. It is: 3, 29

Prime Factor Tree of 87

We may also express the prime factorization of 87 as a Factor Tree:

Prime factors of 87 factorization tree of 87

Prime Factorization Table

NumberPrime Factors
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41
83
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72
32 × 11
22 × 52
101

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 87? (The answer is: 3, 29). Pick the number for factorization (e.g. '87'). 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 87?

Prime Factors of 87: 3, 29

How many prime factors does 87 have?

Number 87 has 2 Prime Factors