Number Product

Algebra Level 2

Find the sum of the digits of the product of the first 10 non-negative integers.

0 9 27 36

Karan Thakkar by Karan Thakkar , 28, India

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5 solutions

Dominic Bryan
Nov 5, 2015

The question say "non-negative" so 0 number is allowed so, The answer is 0

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Rohit Udaiwal
Nov 3, 2015

0 × 1 × 2 × 3 … × 22 = 0 0×1×2×3 \ldots ×22 \\ =0

2 Helpful 0 Interesting 0 Brilliant 0 Confused

why up to 22 ..only 10 integers are needed.

Prasad Imm - 5 years, 7 months ago

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As two different people have used integers up to 22, I assume the question has been changed slightly.

Luke Johnson-Davies - 5 years, 7 months ago
Department 8
Nov 3, 2015

The whole number set include 0 0 and multiplying the first 23 23 will give 0 0 . more precisely:-

0 × 1 × 2 × . . . . . . . 22 0\times 1\times 2\times ....... 22

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Prasad Imm
Nov 9, 2015

0 .1.2.3.4.5.6.7.8.9= 0

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Jonathon Wright
Nov 10, 2015

Zero is the first integer that isn't negative. Therefore the resulting product will be zero, and the digit sum along with it.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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