Question

explain whether the number
3x5x13x46+23
is a prime number or a composte number​

Answer 1

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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