If $x = 2^{10} imes 5^6$ then how many zeros will be there at the end of x?

Question

If $x = 2^{10} 	imes 5^6$ then how many zeros will be there at the end of x?

Quintessence Classes · Accepted Answer

The correct answer is 6. To find out how many zeros are at the end of a number, we need to count how many times the number ten can be formed. A ten is created by multiplying one factor of two and one factor of five.In this specific case:We have ten twos.We have six fives.Since each zero requires exactly one two and one five to work together, the number of zeros is limited by whichever number we have less of. Because we only have six fives, we can only form six complete pairs of ten.The extra four twos will increase the size of the number, but they cannot create any more zeros because they have no more fives left to pair with.Therefore, there will be six zeros at the end of the number.

Answer

5

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4

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3

If $x = 2^{10} \times 5^6$ then how many zeros will be there at the end of x?

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