Prime Factorization of 1300

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Prime Factors of

What is the Prime Factorization of 1300?

Answer: Prime Factors of 1300: 2, 2, 5, 5, 13

or

22 × 52 × 13

Explanation of number 1300 Prime Factorization

Prime Factorization of 1300 it is expressing 1300 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1300.

Since number 1300 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1300, we have to iteratively divide 1300 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1300:

The smallest Prime Number which can divide 1300 without a remainder is 2. So the first calculation step would look like:

1300 ÷ 2 = 650

Now we repeat this action until the result equals 1:

650 ÷ 2 = 325

325 ÷ 5 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 1300. It is: 2, 2, 5, 5, 13

Or you may also write it in exponential form: 22 × 52 × 13

Prime Factor Tree of 1300

We may also express the prime factorization of 1300 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 1300? (The answer is: 2, 2, 5, 5, 13). Pick the number for factorization (e.g. '1300'). 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
12855, 257
12862, 643
128732 × 11 × 13
128823 × 7 × 23
12891289
12902, 3, 5, 43
12911291
129222 × 17 × 19
12933, 431
12942, 647
12955, 7, 37
129624 × 34
12971297
12982, 11, 59
12993, 433
130022 × 52 × 13
13011301
13022, 3, 7, 31
13031303
130423 × 163
130532 × 5 × 29
13062, 653
13071307
130822 × 3 × 109
13097, 11, 17
13102, 5, 131
13113, 19, 23
131225 × 41
131313, 101
13142 × 32 × 73

FAQ

What is the Prime Factorization of 1300?

Prime Factors of 1300: 2, 2, 5, 5, 13

How many prime factors does 1300 have?

Number 1300 has 5 Prime Factors

What is the Prime Factorization of 1300 in exponential form?

The Prime Factorization of the number 1300 in the exponential form is: 22 × 52 × 13

See Also