Prime Factorization of 5375

What is the Prime Factorization of 5375?

Answer: Prime Factors of 5375: 5, 5, 5, 43

or

53 × 43

Explanation of number 5375 Prime Factorization

Prime Factorization of 5375 it is expressing 5375 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 5375.

Since number 5375 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 5375, we have to iteratively divide 5375 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 5375:

The smallest Prime Number which can divide 5375 without a remainder is 5. So the first calculation step would look like:

5375 ÷ 5 = 1075

Now we repeat this action until the result equals 1:

1075 ÷ 5 = 215

215 ÷ 5 = 43

43 ÷ 43 = 1

Now we have all the Prime Factors for number 5375. It is: 5, 5, 5, 43

Or you may also write it in exponential form: 53 × 43

Prime Factor Tree of 5375

We may also express the prime factorization of 5375 as a Factor Tree:

See Also

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 5375? (The answer is: 5, 5, 5, 43). Pick the number for factorization (e.g. '5375'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
536024 × 5 × 67
53613, 1787
53622, 7, 383
536331, 173
536422 × 32 × 149
53655, 29, 37
53662, 2683
53673, 1789
536823 × 11 × 61
53697, 13, 59
53702, 3, 5, 179
537141, 131
537222 × 17 × 79
537333 × 199
53742, 2687
53 × 43
537628 × 3 × 7
537719, 283
53782, 2689
53793, 11, 163
538022 × 5 × 269
53815381
53822 × 32 × 13 × 23
53837, 769
538423 × 673
53853, 5, 359
53862, 2693
53875387
538822 × 3 × 449
538917, 317

FAQ

What is the Prime Factorization of 5375?

Prime Factors of 5375: 5, 5, 5, 43

How many prime factors does 5375 have?

Number 5375 has 4 Prime Factors

What is the Prime Factorization of 5375 in exponential form?

The Prime Factorization of the number 5375 in the exponential form is: 53 × 43