Prime Factorization of 5390

What is the Prime Factorization of 5390?

Answer: Prime Factors of 5390: 2, 5, 7, 7, 11

or

2 × 5 × 72 × 11

Explanation of number 5390 Prime Factorization

Prime Factorization of 5390 it is expressing 5390 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 5390.

Since number 5390 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 5390, we have to iteratively divide 5390 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 5390:

The smallest Prime Number which can divide 5390 without a remainder is 2. So the first calculation step would look like:

5390 ÷ 2 = 2695

Now we repeat this action until the result equals 1:

2695 ÷ 5 = 539

539 ÷ 7 = 77

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 5390. It is: 2, 5, 7, 7, 11

Or you may also write it in exponential form: 2 × 5 × 72 × 11

Prime Factor Tree of 5390

We may also express the prime factorization of 5390 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 5390? (The answer is: 2, 5, 7, 7, 11). Pick the number for factorization (e.g. '5390'). 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
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
2 × 5 × 72 × 11
539132 × 599
539224 × 337
53935393
53942, 3, 29, 31
53955, 13, 83
539622 × 19 × 71
53973, 7, 257
53982, 2699
53995399
23 × 33 × 52
540111, 491
54022, 37, 73
54033, 1801
540422 × 7 × 193

FAQ

What is the Prime Factorization of 5390?

Prime Factors of 5390: 2, 5, 7, 7, 11

How many prime factors does 5390 have?

Number 5390 has 5 Prime Factors

What is the Prime Factorization of 5390 in exponential form?

The Prime Factorization of the number 5390 in the exponential form is: 2 × 5 × 72 × 11