Prime Factorization of 480

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Prime Factors of

What is the Prime Factorization of 480?

Answer

Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5

or

25 × 3 × 5

Explanation of number 480 Prime Factorization

Prime Factorization of 480 is expressing 480 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 480.

Since number 480 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 480, we have to iteratively divide 480 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 480:

The smallest Prime Number which can divide 480 without a remainder is 2. So the first calculation step would look like:

480 ÷ 2 = 240

Now we repeat this action until the result equals 1:

240 ÷ 2 = 120

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 480. It is: 2, 2, 2, 2, 2, 3, 5

Or you may also write it in exponential form: 25 × 3 × 5

Prime Factor Tree of 480

We may also express the prime factorization of 480 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 480? (The answer is: 2, 2, 2, 2, 2, 3, 5). Pick the number for factorization (e.g. '480'). 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 Factors of

Prime Factorization Table

NumberPrime Factors
4653, 5, 31
4662, 233
467467
46822 × 32 × 13
4697, 67
4702, 5, 47
4713, 157
47223 × 59
47311, 43
4742, 3, 79
47552 × 19
47622 × 7 × 17
47732 × 53
4782, 239
479479
48025 × 3 × 5
48113, 37
4822, 241
4833, 7, 23
48422 × 112
4855, 97
4862 × 35
487487
48823 × 61
4893, 163
4902 × 5 × 72
491491
49222 × 3 × 41
49317, 29
4942, 13, 19

FAQ

What is the Prime Factorization of 480?

Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5

How many prime factors does 480 have?

Number 480 has 7 Prime Factors

What is the Prime Factorization of 480 in exponential form?

The Prime Factorization of the number 480 in the exponential form is: 25 × 3 × 5

See Also