Prime Factorization of 998

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Prime Factors of

What is the Prime Factorization of 998?

Answer: Prime Factors of 998: 2, 499

Explanation of number 998 Prime Factorization

Prime Factorization of 998 it is expressing 998 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 998.

Since number 998 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 998, we have to iteratively divide 998 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 998:

The smallest Prime Number which can divide 998 without a remainder is 2. So the first calculation step would look like:

998 ÷ 2 = 499

Now we repeat this action until the result equals 1:

499 ÷ 499 = 1

Now we have all the Prime Factors for number 998. It is: 2, 499

Prime Factor Tree of 998

We may also express the prime factorization of 998 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 998? (The answer is: 2, 499). Pick the number for factorization (e.g. '998'). 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
983983
98423 × 3 × 41
9855, 197
9862, 17, 29
9873, 7, 47
98822 × 13 × 19
98923, 43
9902 × 32 × 5 × 11
991991
99225 × 31
9933, 331
9942, 7, 71
9955, 199
99622 × 3 × 83
997997
9982, 499
99933 × 37
100023 × 53
10017, 11, 13
10022, 3, 167
100317, 59
100422 × 251
10053, 5, 67
10062, 503
100719, 53
100824 × 32 × 7
10091009
10102, 5, 101
10113, 337
101222 × 11 × 23

FAQ

What is the Prime Factorization of 998?

Prime Factors of 998: 2, 499

How many prime factors does 998 have?

Number 998 has 2 Prime Factors

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