Prime Factorization of 481

What is the Prime Factorization of 481?

Answer: Prime Factors of 481: 13, 37

Explanation of number 481 Prime Factorization

Prime Factorization of 481 it is expressing 481 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 481.

Since number 481 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 481, we have to iteratively divide 481 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 481:

The smallest Prime Number which can divide 481 without a remainder is 13. So the first calculation step would look like:

481 ÷ 13 = 37

Now we repeat this action until the result equals 1:

37 ÷ 37 = 1

Now we have all the Prime Factors for number 481. It is: 13, 37

Prime Factor Tree of 481

We may also express the prime factorization of 481 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 481? (The answer is: 13, 37). Pick the number for factorization (e.g. '481'). 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, 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
23 × 61
3, 163
2 × 5 × 72
491
49222 × 3 × 41
17, 29
2, 13, 19
32 × 5 × 11

FAQ

What is the Prime Factorization of 481?

Prime Factors of 481: 13, 37

How many prime factors does 481 have?

Number 481 has 2 Prime Factors