is (3×4×5×7)+(19×21×23) a composite number justify your answer
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2
Answer:
9597 is a composite number.
Step-by-step explanation:
(3×4×5×7)+(19×21×23)
420+9177
=9597
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Answered by
1
Answer:
By definition, a composite number is a whole number that can be divided evenly by numbers other than 1 or itself.
Let the number amount to y
Therefore, y=(3×4×5×7)+(19×21×23).
Now, notice that 3×7=21
Thus, y=(4×5×21)+(19×21×23)
Taking 21 common, we have:
y=21×((4×5)+(19×23))
Clearly, the number y will be divisible by 21 too.
Thus, the number is divisible by 1,y and 21 . Also, 21=3×7 , which implies that there are more than 2 distinct prime divisors, and thus, by definition the number y is a composite number.
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