Prime Factorization of 98000

What is the Prime Factorization of 98000?

Answer: Prime Factors of 98000: 2, 2, 2, 2, 5, 5, 5, 7, 7

or

24 × 53 × 72

Explanation of number 98000 Prime Factorization

Prime Factorization of 98000 it is expressing 98000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 98000.

Since number 98000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 98000, we have to iteratively divide 98000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 98000:

The smallest Prime Number which can divide 98000 without a remainder is 2. So the first calculation step would look like:

98000 ÷ 2 = 49000

Now we repeat this action until the result equals 1:

49000 ÷ 2 = 24500

24500 ÷ 2 = 12250

12250 ÷ 2 = 6125

6125 ÷ 5 = 1225

1225 ÷ 5 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 98000. It is: 2, 2, 2, 2, 5, 5, 5, 7, 7

Or you may also write it in exponential form: 24 × 53 × 72

Prime Factor Tree of 98000

We may also express the prime factorization of 98000 as a Factor Tree:

Prime factors of 98000 factorization tree of 98000

Related Calculations

Prime Factorization Table

NumberPrime Factors
979855, 19597
979862, 3, 7, 2333
9798797987
9798822 × 11 × 17 × 131
979893, 89, 367
979902, 5, 41, 239
9799129, 31, 109
9799223 × 32 × 1361
979937, 13999
979942, 13, 3769
979953, 5, 47, 139
9799622 × 24499
97997432 × 53
979982, 3, 16333
9799911, 59, 151
24 × 53 × 72
9800132 × 10889
980022, 19, 2579
9800323, 4261
9800422 × 3 × 8167
980055, 17, 1153
980062, 49003
980073, 7, 13, 359
9800823 × 12251
9800998009
980102 × 34 × 5 × 112
9801198011
9801222 × 107 × 229
980133, 37, 883
980142, 7, 7001

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 98000? (The answer is: 2, 2, 2, 2, 5, 5, 5, 7, 7). Pick the number for factorization (e.g. '98000'). 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 98000?

Prime Factors of 98000: 2, 2, 2, 2, 5, 5, 5, 7, 7

How many prime factors does 98000 have?

Number 98000 has 9 Prime Factors

What is the Prime Factorization of 98000 in exponential form?

The Prime Factorization of the number 98000 in the exponential form is: 24 × 53 × 72