Picky Calculation

Algebra Level 1

Of the first 5 smallest positive integers, I multiplied 4 of these numbers to produce a number with a value of 30. What number did I exclude from my calculation?

2 3 4 5

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Chung Kevin by Chung Kevin , 45, Australia

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3 solutions

Mehul Arora
Mar 18, 2016

The five smallest positive integers are 1 , 2 , 3 , 4 , 5 1,2,3,4,5

30 = 1 × 2 × 3 × 5 30 = 1 \times 2 \times 3 \times 5

Now, 4 is the only integer belonging to this set which does not divide 30. Therefore, 4 4 was excluded.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

That's one way to solve it. Thank you.

My approach was to find M M such that 1 × 2 × 3 × 4 × 5 M = 30 \dfrac{1\times2\times3\times4\times5}{M} = 30 .

Chung Kevin - 5 years, 2 months ago

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Aah yes. That is a good approach. Certainly.

Mehul Arora - 5 years, 2 months ago
Venkatachalam J
Jun 19, 2016

The value 30 is not divisible by 4(given in the choice). Therefore the number 4 is not included in the product.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

1 x 2 x 3 x 5 = 30

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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