# Thread: The product of two numbers equal 1,000,000

1. ## The product of two numbers equal 1,000,000

The product of two number's is 1,000,000. No digit of either number is a zero. What are the number's?

2. Hint: Find the prime factorization of 1,000,000. Then figure out a way to multiply those factors that will give you numbers with no zeroes. (Note: Any product of 2 and 5 will result in a zero in the ones place.)

Eliz.

3. 1,000,000/2 = 500,000

your 2 numbers are----> 2, 500000

4. Originally Posted by Sir_Loo
1,000,000/2 = 500,000

your 2 numbers are----> 2, 500000
Sorry, No digit can be a 0.

5. Since one number must end with 5, and the other with 2 or 4 or 6 or 8,
then the product of 1000000 will be from (10x + 5)(10y + 2 or 4 or 6 or 8),
where x and y = any integer > 0

galactus: a 6feet tall statistician who couldn't swim drowned trying
to prove that a certain lake's depth averaged 5 feet

6. That's good one, Denis. There are a lot of jokes about statistics.

As far as the problem goes, I was thinking why not the prime factorization of 1000000. That's what Stapel suggested, too.

$2^{6}\cdot{5^{6}}$

No 0's.

7. ## Got It

15625 X 64

I coded a program that figured it out in under a second, talk about efficiency eh?

8. Originally Posted by Michae lSykes
I coded a program that figured it out in under a second, talk about efficiency eh?
We can't really talk efficiency, until after you show us your code.

9. Originally Posted by Michae lSykes
15625 X 64

I coded a program that figured it out in under a second, talk about efficiency eh?
The real question is whether or not it took longer to write the code than to find the prime factorization of 1000000.
Also as already pointed out, before you can say efficient, please show us the code.

10. Originally Posted by Michae lSykes
15625 X 64

I coded a program that figured it out in under a second, talk about efficiency eh?
I also can't state "efficient," because the problem was posted September 13, 2006 by someone else, and you posted June 17, 2017.

There is a lot of variation in when you could have started that problem.

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