Prime Factorization of 441

What is the Prime Factorization of 441?

Answer: Prime Factors of 441: 3, 3, 7, 7

or

32 × 72

Explanation of number 441 Prime Factorization

Prime Factorization of 441 it is expressing 441 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 441.

Since number 441 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 441, we have to iteratively divide 441 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 441:

The smallest Prime Number which can divide 441 without a remainder is 3. So the first calculation step would look like:

441 ÷ 3 = 147

Now we repeat this action until the result equals 1:

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 441. It is: 3, 3, 7, 7

Or you may also write it in exponential form: 32 × 72

Prime Factor Tree of 441

We may also express the prime factorization of 441 as a Factor Tree:

Prime factors of 441 factorization tree of 441

Prime Factorization Table

NumberPrime Factors
2, 3, 71
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
4342, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11
32 × 72
2, 13, 17
443
22 × 3 × 37
5, 89
4462, 223
3, 149
26 × 7
449
2 × 32 × 52
11, 41
22 × 113
3, 151
4542, 227
5, 7, 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 441? (The answer is: 3, 3, 7, 7). Pick the number for factorization (e.g. '441'). 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 441?

Prime Factors of 441: 3, 3, 7, 7

How many prime factors does 441 have?

Number 441 has 4 Prime Factors

What is the Prime Factorization of 441 in exponential form?

The Prime Factorization of the number 441 in the exponential form is: 32 × 72