Tomato 2015

Number Theory Level 3

Find the smallest 4 digit number which has the same number of positive factors as 2015.


The answer is 1001.

Bryan Lee Shi Yang by Bryan Lee Shi Yang , 17, Malaysia

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1 solution

Nihar Mahajan
Aug 6, 2015

Since 2015 = 5 × 13 × 31 2015=5\times 13 \times 31 , we are looking for the smallest sphenic number above 999 999 and that is 1001 = 7 × 11 × 13 1001=7 \times 11 \times 13 with equal number of divisors = 8 =8 .

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i like the way you did it

uttkarsh kohli - 5 years, 10 months ago

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Thanks! :) ...

Nihar Mahajan - 5 years, 10 months ago

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wlcm..............................

uttkarsh kohli - 5 years, 10 months ago

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