Finding Number of Zeros in a Number
Concepts Examples

To find the number of zeros at the end of a factorial or a product, find the highest power of 2 and 5 in the factorial or the product, number of zeros will be decided by the limiting factor. ( one who's power is smaller will be the limiting factor)

Limiting factor is the one who's power is less among 2 and 5



e.g. Finding number of Zeros in 150

150 = 2 × 3 × 5 × 5,
∴ Highest power of 2 = 1
∴ Highest power of 5 = 2
∴ Limiting factor = 1
∴ Number of zeros in 150 = 1

e.g. Finding number of Zeros in 10!

∴ Highest power of 2 = 8
∴ Highest power of 5 = 2
∴ Limiting factor = 2
∴ Number of zeros in 10! = 2

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