Prime Factorization of 37000

What is the Prime Factorization of 37000?

Answer: Prime Factors of 37000: 2, 2, 2, 5, 5, 5, 37

or

23 × 53 × 37

Explanation of number 37000 Prime Factorization

Prime Factorization of 37000 it is expressing 37000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 37000.

Since number 37000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 37000, we have to iteratively divide 37000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 37000:

The smallest Prime Number which can divide 37000 without a remainder is 2. So the first calculation step would look like:

37000 ÷ 2 = 18500

Now we repeat this action until the result equals 1:

18500 ÷ 2 = 9250

9250 ÷ 2 = 4625

4625 ÷ 5 = 925

925 ÷ 5 = 185

185 ÷ 5 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 37000. It is: 2, 2, 2, 5, 5, 5, 37

Or you may also write it in exponential form: 23 × 53 × 37

Prime Factorization Table

NumberPrime Factors
369855, 13, 569
369862, 18493
369873, 12329
3698822 × 7 × 1321
3698947, 787
369902 × 33 × 5 × 137
3699171, 521
3699227 × 172
369933, 11, 19, 59
369942, 53, 349
369955 × 72 × 151
3699622 × 3 × 3083
3699736997
369982, 13, 1423
3699932 × 4111
3700023 × 53 × 37
37001163, 227
370022, 3, 7, 881
3700337003
3700422 × 11 × 292
370053, 5, 2467
370062, 18503
3700723, 1609
3700824 × 32 × 257
370097, 17, 311
370102, 5, 3701
370113 × 132 × 73
3701222 × 19 × 487
3701337013
370142, 3, 31, 199

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 37000? (The answer is: 2, 2, 2, 5, 5, 5, 37). Pick the number for factorization (e.g. '37000'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 37000?

Prime Factors of 37000: 2, 2, 2, 5, 5, 5, 37

How many prime factors does 37000 have?

Number 37000 has 7 Prime Factors

What is the Prime Factorization of 37000 in exponential form?

The Prime Factorization of the number 37000 in the exponential form is: 23 × 53 × 37