Prime Factorization of 338
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What is the Prime Factorization of 338?
or
Explanation of number 338 Prime Factorization
Prime Factorization of 338 it is expressing 338 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 338.
Since number 338 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 338, we have to iteratively divide 338 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 338:
The smallest Prime Number which can divide 338 without a remainder is 2. So the first calculation step would look like:
338 ÷ 2 = 169
Now we repeat this action until the result equals 1:
169 ÷ 13 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 338. It is: 2, 13, 13
Or you may also write it in exponential form: 2 × 132
Prime Factor Tree of 338
We may also express the prime factorization of 338 as a Factor Tree:
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See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
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Prime Factorization Table
Number | Prime Factors |
---|---|
323 | 17, 19 |
324 | 22 × 34 |
325 | 52 × 13 |
326 | 2, 163 |
327 | 3, 109 |
328 | 23 × 41 |
329 | 7, 47 |
330 | 2, 3, 5, 11 |
331 | 331 |
332 | 22 × 83 |
333 | 32 × 37 |
334 | 2, 167 |
335 | 5, 67 |
336 | 24 × 3 × 7 |
337 | 337 |
338 | 2 × 132 |
339 | 3, 113 |
340 | 22 × 5 × 17 |
341 | 11, 31 |
342 | 2 × 32 × 19 |
343 | 73 |
344 | 23 × 43 |
345 | 3, 5, 23 |
346 | 2, 173 |
347 | 347 |
348 | 22 × 3 × 29 |
349 | 349 |
350 | 2 × 52 × 7 |
351 | 33 × 13 |
352 | 25 × 11 |
FAQ
What is the Prime Factorization of 338?
How many prime factors does 338 have?
What is the Prime Factorization of 338 in exponential form?
See Also
- Prime factors of 328
- Prime factors of 329
- Prime factors of 330
- Prime factors of 331
- Prime factors of 332
- Prime factors of 333
- Prime factors of 334
- Prime factors of 335
- Prime factors of 336
- Prime factors of 337
- Prime factors of 339
- Prime factors of 340
- Prime factors of 341
- Prime factors of 342
- Prime factors of 343
- Prime factors of 344
- Prime factors of 345
- Prime factors of 346
- Prime factors of 347
- Prime factors of 348
- Простые множители числа 338