Eden Solomon

2022-06-29

Which of the following numbers has the largest number of unique ' factors? $\{85,\text{}138,\text{}317,\text{}207\}$

grcalia1

Beginner2022-06-30Added 23 answers

Step 1

Prime factors of 85 are 5 and 17 as $85=5\times 17$

Prime factors of 138 are 2, 3 and 23 as $138=2\times 3\times 23$

317 is itself ' as it does not have any factor other than 1 and itself.

Prime factors of 207 are 3 and 23 as $207=3\times 3\times 23$

Hence, 138 has the largest number of unique ' factors.

Prime factors of 85 are 5 and 17 as $85=5\times 17$

Prime factors of 138 are 2, 3 and 23 as $138=2\times 3\times 23$

317 is itself ' as it does not have any factor other than 1 and itself.

Prime factors of 207 are 3 and 23 as $207=3\times 3\times 23$

Hence, 138 has the largest number of unique ' factors.

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