How do you work out what 5 prime numbers times together to equals 111111?

Answer 1

the first thing to do is to is to narrow your options. There are a few things you know.

The numbers that it cannot be:

1 (if it was one, it'd be 4 numbers instead of 5)

2 (isn't even)

5 (doesn't end in 5 or 0)

#>111111

We know that it is the product of five numbers so we can deduce that it is likely that:

111111^(1/5) = ~ 10 (the numbers will proably be around 10):

7, 11, 13,

Since the digits add up to 6 (which is a multiple of 3), one of the factors must be 3

So from there it's trial and error:

111111/3 =37037

Try 7

37037/7=5291

Try 11

5291/11=481

Try 13

481/13=37

So the numbers are: 3,7,11,13,37