English

Write the Number of Zeroes in the End of a Number Whose Prime Factorization is 22 × 53 × 32 × 17.

Question

Write the number of zeroes in the end of a number whose prime factorization is 2²× 5³ × 3² × 17.

Sum

Solution

Given prime factorization is $22\times53\times32\times17"> 22 \times 53 \times 32 \times 17.$
A number will have zero at the end when we have $2\times5"> 2 \times 5.$
In $22\times53\times32\times17"> 22 \times 53 \times 32 \times 17,$ we will have 2 zeroes as $22\times52\times5\times32\times17"> (22 \times 52) \times 5 \times 32 \times 17.$