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Fill in the blanks: 375 is divisible by ____ & ____
A) 5 & 15
B) 5 & 10
C) 2 & 5
D) 2 & 3
To find: The numbers which are divisors of 375
Solution:
Prime factorization of 375 = $3 \times 5 \times 5 \times 5$
We can immediately say 375 is divisible by 5. As 5 is a prime factor.
It is also divisible by 3 which is a prime factor
Since it is divisible by 3 and 5, it must be divisible by $3 \times 5 = 15$
So 375 is divisible by 5 and 15.
So answer is A
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