If 2^x × 3^y × 5^z = 2250, find x + y + z.

6. 2250 = 2 × 1125 = 2 × 9 × 125 = 2 × 3^2 × 5^3. So x = 1, y = 2, z = 3 and x + y + z = 6.

If $2^{x} \times 3^{y} \times 5^{z} = 2250$ , find $x + y + z$ .

Class 7Prime Factors in Exponent FormNumber System

2250 =

2 \times 1125 = 2 \times 9 \times 125 = 2 \times 3^{2} \times 5^{3}

. So

x = 1, y = 2, z = 3

and

x + y + z = 6

Answer: A) 6

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