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Which of the given numbers has factors other than the number itself and one?

A. 97
B. [tex]107[/tex]
C. 167
D. [tex]297[/tex]
E. [tex]317[/tex]

Sagot :

GinnyAnsweridn
To determine which of the given numbers has factors other than the number itself and one, we need to check their prime factorizations.

We are given five numbers to check: 97, 107, 167, 297, and 317.

A: 97

First, we see if 97 has any prime factors other than 1 and 97 itself.
97 is a prime number, meaning it has no factors other than 1 and itself.

B: 107

Next, we check 107 for any prime factors.
107 is also a prime number, meaning it has no factors other than 1 and itself.

C: 167

Now, we check 167 for prime factors.
167 is a prime number, meaning it has no factors other than 1 and itself.

D: 297

For 297, we need to check if it has any factors other than 1 and 297.
Upon factorization:
297 = 3^3 * 11^1
This means 297 can be divided by 3 and 11, which are factors other than 1 and itself. Therefore, 297 is not a prime number.

E: 317

Finally, we check 317 for prime factors.
317 is a prime number, meaning it has no factors other than 1 and itself.

From the above analysis:

- 97 is prime.
- 107 is prime.
- 167 is prime.
- 297 is not prime (it has factors 3 and 11).
- 317 is prime.

Therefore, the number that has factors other than itself and one is 297.
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