Prime Factorization of 973

What is the Prime Factorization of 973?

Answer: Prime Factors of 973: 7, 139

Explanation of number 973 Prime Factorization

Prime Factorization of 973 it is expressing 973 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 973.

Since number 973 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 973, we have to iteratively divide 973 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 973:

The smallest Prime Number which can divide 973 without a remainder is 7. So the first calculation step would look like:

973 ÷ 7 = 139

Now we repeat this action until the result equals 1:

139 ÷ 139 = 1

Now we have all the Prime Factors for number 973. It is: 7, 139

Prime Factor Tree of 973

We may also express the prime factorization of 973 as a Factor Tree:

Prime factors of 973 factorization tree of 973

Prime Factorization Table

NumberPrime Factors
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
971
22 × 35
7, 139
2, 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
2, 17, 29
3, 7, 47

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 973? (The answer is: 7, 139). Pick the number for factorization (e.g. '973'). 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 973?

Prime Factors of 973: 7, 139

How many prime factors does 973 have?

Number 973 has 2 Prime Factors