what is the greatest power of 221 which can exactly divide 150!
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Given : 150!
To Find : greatest power of 221 which can exactly divide 150!
Solution:
221 = 13 * 17
13 and 17 both are prime numbers
17 > 13
hence need to check only for 17
[150/17] + [150/17²] + ...
= 8 + 0 + ...
= 8
Hence greatest power of 221 which can exactly divide 150! is 8
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