Find the missing digits in the number below if the number is the product of two equal factors. 2, _ _ 5

smileycellist2

smileycellist2

Answered question

2020-12-25

Find the missing digits in the number below if the number is the product of two equal factors. 2, _ _ 5

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2020-12-26Added 91 answers

Since the number is the product of two equal factors, then that factor is squared to obtain the number. The last digit is 5 so we know that the factor being squared ends in 5: 15, 25, 35, 45, etc.
Among these, the number must be between 2000 and 3000:
152=225
252=625
352=1225
452=2025
552=3025
The number that is between 2000 and 3000 is 2025 so the missing digits are: 0 and 2

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