Prime Factorization of 1680

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Prime Factors of

What is the Prime Factorization of 1680?

Answer: Prime Factors of 1680: 2, 2, 2, 2, 3, 5, 7

or

24 × 3 × 5 × 7

Explanation of number 1680 Prime Factorization

Prime Factorization of 1680 it is expressing 1680 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1680.

Since number 1680 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1680, we have to iteratively divide 1680 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1680:

The smallest Prime Number which can divide 1680 without a remainder is 2. So the first calculation step would look like:

1680 ÷ 2 = 840

Now we repeat this action until the result equals 1:

840 ÷ 2 = 420

420 ÷ 2 = 210

210 ÷ 2 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 1680. It is: 2, 2, 2, 2, 3, 5, 7

Or you may also write it in exponential form: 24 × 3 × 5 × 7

Prime Factor Tree of 1680

We may also express the prime factorization of 1680 as a Factor Tree:

Prime factors of 1680 factorization tree of 1680

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Prime Factorization Table

NumberPrime Factors
166532 × 5 × 37
16662 × 72 × 17
16671667
166822 × 3 × 139
16691669
16702, 5, 167
16713, 557
167223 × 11 × 19
16737, 239
16742 × 33 × 31
167552 × 67
167622 × 419
16773, 13, 43
16782, 839
167923, 73
168024 × 3 × 5 × 7
1681412
16822 × 292
168332 × 11 × 17
168422 × 421
16855, 337
16862, 3, 281
16877, 241
168823 × 211
16893, 563
16902 × 5 × 132
169119, 89
169222 × 32 × 47
16931693
16942 × 7 × 112

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 1680? (The answer is: 2, 2, 2, 2, 3, 5, 7). Pick the number for factorization (e.g. '1680'). 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

FAQ

What is the Prime Factorization of 1680?

Prime Factors of 1680: 2, 2, 2, 2, 3, 5, 7

How many prime factors does 1680 have?

Number 1680 has 7 Prime Factors

What is the Prime Factorization of 1680 in exponential form?

The Prime Factorization of the number 1680 in the exponential form is: 24 × 3 × 5 × 7

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