explain whether the number
3x5x13x46+23
is a prime number or a composte number
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explain whether the number
3x5x13x46+23
is a prime number or a composte number
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Step-by-step explanation:
Given : Expression 3\times 5\times 13\times 46+233×5×13×46+23
To find : Whether the number in expression is a prime number or composite number?
Solution :
Expression 3\times 5\times 13\times 46+233×5×13×46+23
Now, we split the expression by writing 46=2×23
=3\times 5\times 13\times 2\times 23+23=3×5×13×2×23+23
Taking 23 common from the expression
=23(3\times 5\times 13\times 2+1)=23(3×5×13×2+1)
Multiply the values under bracket
=23(390+1)=23(390+1)
=23(391)=23(391)
Now, we can write 391 as multiple of 23 and 17.
=23\times 23\times 17=23×23×17
So, The given expression is expressed as multiple of numbers so it is a composite number
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