But It's Not Halloween Yet

Number Theory Level 4

Find the largest prime factor of the number 12345678901234567890123456789 .


The answer is 2906161.

Sal Gard by Sal Gard , 19, USA

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1 solution

Sam Bealing
May 30, 2016

I think this should be a Computer Science problem really because I can't see a solution without just cycling through all of the prime factors in order to find the factorization of the number.

12345678901234567890123456789 = 3 3 × 7 × 13 × 31 × 37 × 211 × 241 × 2161 × 3607 × 3803 × 2906161 12345678901234567890123456789=3^3 \times 7 \times 13 \times 31 \times 37 \times 211 \times 241 \times 2161 \times 3607 \times 3803 \times 2906161

2906161 \boxed{2906161}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Certainly agree. I believe that this problem is intentionally made up other than being serious. :\

Michael Huang - 4 years, 7 months ago

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