Pair of whole numbers equalling one million?

Question

There is only one pair of whole numbers that satisfy both of these conditions: their product is one million, and no digit of either number is zero. What are the two numbers?

Answer 1

64 and 15625

Prime factorization gives you 2^6 * 5^6

***Note: you could also look at the fact that
1,000,000 = (10)^6 = (2*5)^6 = 2^6 * 5^6

2^6 = 64
5^6 = 15625

This is the only possible answer since 2 * 5 = 10, so any factor with a combination of twos and fives would give you a multiple of 10, thus there would have to be a zero in the ones place.

Answer 2

10^6= (2^6)*(5^6)
now 2 and 5 canot be groped in one number then last digit is zero
so only one option remains 2^6 and 5^6. Let us compute 2^6= 64. 5^6= 15625
non of them has a zero to solution is 64*15625
all other comimation has 2*5 in one part and so 0 is there
so this is the only solution

Answer 3

A question well worth pondering. Am multi-tasking at the moment so have to get back to you on it.

And for the punk, our current President and Commander-in-chief has managed to keep us safe from any further attacks from the real terrorists since 9/11. Where in the H... was that pathological liar, Clinton, the FIRST time the terrorists attacked the twin towers? I guess he was too busy, with Monica under his desk.

Answer 4

999999+1

Answer 5

I care, and i think its a very good question. I'll try to find its answer tomorrow, to tired now.