Don't get Scared By Large Numbers 2
Algebra
Level
3
The number 27000001 has exactly 4 prime factors.
Find their sum.
The answer is 652.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
2 7 0 0 0 0 0 1
= 3 0 0 3 + 1 3
= ( 3 0 0 + 1 ) ( 3 0 0 2 − 3 0 0 + 1 )
= 3 0 1 ( ( 3 0 0 + 1 ) 2 − 3 ⋅ 3 0 0 )
= 3 0 1 ( 3 0 1 2 − 3 0 2 )
= 3 0 1 ( 3 0 1 − 3 0 ) ( 3 0 1 + 3 0 )
= 3 0 1 ( 2 7 1 ) ( 3 3 1 )
= 7 ⋅ 4 3 ( 2 7 1 ) ( 3 3 1 )
so the answer is 7 + 4 3 + 2 7 1 + 3 3 1 = 6 5 2 .