Prime Factorization of 1480

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Prime Factors of

What is the Prime Factorization of 1480?

Answer: Prime Factors of 1480: 2, 2, 2, 5, 37

or

23 × 5 × 37

Explanation of number 1480 Prime Factorization

Prime Factorization of 1480 it is expressing 1480 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1480.

Since number 1480 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1480, we have to iteratively divide 1480 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1480:

The smallest Prime Number which can divide 1480 without a remainder is 2. So the first calculation step would look like:

1480 ÷ 2 = 740

Now we repeat this action until the result equals 1:

740 ÷ 2 = 370

370 ÷ 2 = 185

185 ÷ 5 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 1480. It is: 2, 2, 2, 5, 37

Or you may also write it in exponential form: 23 × 5 × 37

Prime Factor Tree of 1480

We may also express the prime factorization of 1480 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 1480? (The answer is: 2, 2, 2, 5, 37). Pick the number for factorization (e.g. '1480'). 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
14655, 293
14662, 733
146732 × 163
146822 × 367
146913, 113
14702 × 3 × 5 × 72
14711471
147226 × 23
14733, 491
14742, 11, 67
147552 × 59
147622 × 32 × 41
14777, 211
14782, 739
14793, 17, 29
148023 × 5 × 37
14811481
14822, 3, 13, 19
14831483
148422 × 7 × 53
148533 × 5 × 11
14862, 743
14871487
148824 × 3 × 31
14891489
14902, 5, 149
14913, 7, 71
149222 × 373
14931493
14942 × 32 × 83

FAQ

What is the Prime Factorization of 1480?

Prime Factors of 1480: 2, 2, 2, 5, 37

How many prime factors does 1480 have?

Number 1480 has 5 Prime Factors

What is the Prime Factorization of 1480 in exponential form?

The Prime Factorization of the number 1480 in the exponential form is: 23 × 5 × 37

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