Prime Factorization of 473

What is the Prime Factorization of 473?

Answer: Prime Factors of 473: 11, 43

Explanation of number 473 Prime Factorization

Prime Factorization of 473 it is expressing 473 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 473.

Since number 473 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 473, we have to iteratively divide 473 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 473:

The smallest Prime Number which can divide 473 without a remainder is 11. So the first calculation step would look like:

473 ÷ 11 = 43

Now we repeat this action until the result equals 1:

43 ÷ 43 = 1

Now we have all the Prime Factors for number 473. It is: 11, 43

Prime Factor Tree of 473

We may also express the prime factorization of 473 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 473? (The answer is: 11, 43). Pick the number for factorization (e.g. '473'). 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, 229
33 × 17
22 × 5 × 23
461
2, 3, 7, 11
463
24 × 29
3, 5, 31
2, 233
467
22 × 32 × 13
7, 67
2, 5, 47
4713, 157
47223 × 59
11, 43
4742, 3, 79
52 × 19
22 × 7 × 17
32 × 53
2, 239
479
25 × 3 × 5
13, 37
2, 241
3, 7, 23
22 × 112
5, 97
2 × 35
487

FAQ

What is the Prime Factorization of 473?

Prime Factors of 473: 11, 43

How many prime factors does 473 have?

Number 473 has 2 Prime Factors