Prime factors of 45 - Calculatio

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What is the Prime Factorization of 45?

Answer: Prime Factors of 45: 3, 3, 5

or

3² × 5

Explanation of number 45 Prime Factorization

Prime Factorization of 45 it is expressing 45 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 45.

Since number 45 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 45, we have to iteratively divide 45 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 45:

The smallest Prime Number which can divide 45 without a remainder is 3. So the first calculation step would look like:

45 ÷ 3 = 15

Now we repeat this action until the result equals 1:

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 45. It is: 3, 3, 5

Or you may also write it in exponential form: 3² × 5

Prime Factor Tree of 45

We may also express the prime factorization of 45 as a Factor Tree:

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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 45? (The answer is: 3, 3, 5). Pick the number for factorization (e.g. '45'). After that hit the 'Calculate' button.

Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factorization Table

Number	Prime Factors
30	2, 3, 5
31	31
32	2⁵
33	3, 11
34	2, 17
35	5, 7
36	2² × 3²
37	37
38	2, 19
39	3, 13
40	2³ × 5
41	41
42	2, 3, 7
43	43
44	2² × 11
45	3² × 5
46	2, 23
47	47
48	2⁴ × 3
49	7²
50	2 × 5²
51	3, 17
52	2² × 13
53	53
54	2 × 3³
55	5, 11
56	2³ × 7
57	3, 19
58	2, 29
59	59

Prime Factorization of 45

"Prime Factorization" Calculator

What is the Prime Factorization of 45?

Explanation of number 45 Prime Factorization

Prime Factor Tree of 45

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About "Prime Factorization" Calculator

"Prime Factorization" Calculator

Prime Factorization Table

FAQ

What is the Prime Factorization of 45?

How many prime factors does 45 have?

What is the Prime Factorization of 45 in exponential form?

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