Prime Factorization of 1440

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Prime Factors of

What is the Prime Factorization of 1440?

Answer: Prime Factors of 1440: 2, 2, 2, 2, 2, 3, 3, 5

or

25 × 32 × 5

Explanation of number 1440 Prime Factorization

Prime Factorization of 1440 it is expressing 1440 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1440.

Since number 1440 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1440, we have to iteratively divide 1440 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1440:

The smallest Prime Number which can divide 1440 without a remainder is 2. So the first calculation step would look like:

1440 ÷ 2 = 720

Now we repeat this action until the result equals 1:

720 ÷ 2 = 360

360 ÷ 2 = 180

180 ÷ 2 = 90

90 ÷ 2 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 1440. It is: 2, 2, 2, 2, 2, 3, 3, 5

Or you may also write it in exponential form: 25 × 32 × 5

Prime Factor Tree of 1440

We may also express the prime factorization of 1440 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 1440? (The answer is: 2, 2, 2, 2, 2, 3, 3, 5). Pick the number for factorization (e.g. '1440'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
14253 × 52 × 19
14262, 23, 31
14271427
142822 × 3 × 7 × 17
14291429
14302, 5, 11, 13
143133 × 53
143223 × 179
14331433
14342, 3, 239
14355, 7, 41
143622 × 359
14373, 479
14382, 719
14391439
144025 × 32 × 5
144111, 131
14422, 7, 103
14433, 13, 37
144422 × 192
14455 × 172
14462, 3, 241
14471447
144823 × 181
144932 × 7 × 23
14502 × 52 × 29
14511451
145222 × 3 × 112
14531453
14542, 727

FAQ

What is the Prime Factorization of 1440?

Prime Factors of 1440: 2, 2, 2, 2, 2, 3, 3, 5

How many prime factors does 1440 have?

Number 1440 has 8 Prime Factors

What is the Prime Factorization of 1440 in exponential form?

The Prime Factorization of the number 1440 in the exponential form is: 25 × 32 × 5

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