Prime Factorization of 1360

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Prime Factors of

What is the Prime Factorization of 1360?

Answer: Prime Factors of 1360: 2, 2, 2, 2, 5, 17

or

24 × 5 × 17

Explanation of number 1360 Prime Factorization

Prime Factorization of 1360 it is expressing 1360 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1360.

Since number 1360 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1360, we have to iteratively divide 1360 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1360:

The smallest Prime Number which can divide 1360 without a remainder is 2. So the first calculation step would look like:

1360 ÷ 2 = 680

Now we repeat this action until the result equals 1:

680 ÷ 2 = 340

340 ÷ 2 = 170

170 ÷ 2 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 1360. It is: 2, 2, 2, 2, 5, 17

Or you may also write it in exponential form: 24 × 5 × 17

Prime Factor Tree of 1360

We may also express the prime factorization of 1360 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 1360? (The answer is: 2, 2, 2, 2, 5, 17). Pick the number for factorization (e.g. '1360'). 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
13455, 269
13462, 673
13473, 449
134822 × 337
134919, 71
13502 × 33 × 52
13517, 193
135223 × 132
13533, 11, 41
13542, 677
13555, 271
135622 × 3 × 113
135723, 59
13582, 7, 97
135932 × 151
136024 × 5 × 17
13611361
13622, 3, 227
136329, 47
136422 × 11 × 31
13653, 5, 7, 13
13662, 683
13671367
136823 × 32 × 19
1369372
13702, 5, 137
13713, 457
137222 × 73
13731373
13742, 3, 229

FAQ

What is the Prime Factorization of 1360?

Prime Factors of 1360: 2, 2, 2, 2, 5, 17

How many prime factors does 1360 have?

Number 1360 has 6 Prime Factors

What is the Prime Factorization of 1360 in exponential form?

The Prime Factorization of the number 1360 in the exponential form is: 24 × 5 × 17

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