Question

What is the largest power of 10 that divides the product ix2x3x4...X23x24x25?

Answer 1

The given product is → 1x2x3x4...X23x24x25

→ 2 × 5 = 10

→ 4 × 10 = 40

→ 40 × 15 =600

→ 600 × 20 =12,000

→ 12,000 × 25=3,00,000

→3,00,000 × 10 =30,00,000

→30,00,000 × 1×3×6×7×8×9×11×12×13×14×16×17×18×19×21×22×23×24 will be divisible by largest power of 10 which is $10^{6}$.

The exponent of 10 is 6.

Answer 2

Answer:

6

Step-by-step explanation:

The given product is → 1x2x3x4...X23x24x25

→ 2 × 5 = 10

→ 4 × 10 = 40

→ 40 × 15 =600

→ 600 × 20 =12,000

→ 12,000 × 25=3,00,000

→3,00,000 × 10 =30,00,000

→30,00,000 × 1×3×6×7×8×9×11×12×13×14×16×17×18×19×21×22×23×24 will be divisible by largest power of 10 which is .

The exponent of 10 is 6.