Find the factors

Algebra Level pending

Find the sum of the two positive integers with no zero digits whose product is 1,000,000.

i.e. 12 is a valid number but 90 is not.


The answer is 15689.

Mark Tuddenham by Mark Tuddenham , 24, United Kingdom

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1 solution

Note that to create a zero, you need both 2 2 and 5 5 . In this case, the prime factorization of 1000000 1000000 is: 1000000 = 2 6 ∗ 5 6 1000000=2^6*5^6 Neither of the factors will end in zero(since they are separated), the answer would be 64 + 15625 = 15689 64+15625=15689

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