Question

The highest power of 45 that will exactly divide 123! is (a) 28 (c) 31 (b) 30 (d) 59​

Answer 1

Answer:

Answer:

28

Step-by-step explanation: The correct option is B 28

45=3×3×5. Here 5 is the largest prime factor of 45.

The highest power of 3 in 123! = 41 +13 +4 +

1 = 59

The highest power of 9 in 123! = 59-12-29

We will find highest power of 5 in 123! =24+4=28

The highest power of 5 in 123! is less than that of 3.

So, the highest power of 45 which divides 123! is 28.

Step-by-step explanation:

May it's helps you

Answer 2

Answer:

28

Step-by-step explanation:

The correct option is B 28

45=3×3×5. Here 5 is the largest prime factor of 45.

The highest power of 3 in 123! = 41 + 13 + 4 + 1 = 59

The highest power of 9 in 123! = 59−12=29

We will find highest power of 5 in 123!=24+4=28

The highest power of 5 in 123! is less than that of 3.

So, the highest power of 45 which divides 123! is 28.