self Maths Puzzle

find two integers, neither of which ends in a zero, and whose product is exactly 1,000,000

Read Solution (Total 2)

1,000,000=10^6
=10x10x10x10x10x10
=(2x5)x(2x5)x(2x5)x(2x5)x(2x5)x(2x5)
=(2^6)x(5^6)
= 64x15625

so the numbers are 64 and 15,625
12 years agoHelpfull: Yes(5) No(0)

1,000,000
=10^6
=(2^6)*(5^6)
=64*15625

Hence, the answer is 64 and 15625.
12 years agoHelpfull: Yes(1) No(0)

self Other Question

Find all 5-digit integers such that the sum of the cube of the integer formed from its first 2 digits and the square of the integer formed from its last 3 digits generates a new integer which is an exact multiple of the original integer. A square is cut from the centre of a rectangle. The length of the square's side is exactly half the length of the rectangle's longest side. After cutting out the square, it is found that the rectangle's area has been reduced by exactly 38%. The sides of the rectangle and square are all two-digit integers. Find their values.