Question

Explain whether the number 3×5×13×46+23 is a prime number or composite number

Answer 1

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Answer 2

Answer:

The given expression is expressed as multiple of numbers so it is a composite number.

Step-by-step explanation:

Given : Expression $3\times 5\times 13\times 46+23$

To find :  Whether the number in expression is a prime number or composite number?

Solution :

Expression $3\times 5\times 13\times 46+23$

Now, we split the expression by writing 46=2×23

$=3\times 5\times 13\times 2\times 23+23$

Taking 23 common from the expression

$=23(3\times 5\times 13\times 2+1)$

Multiply the values under bracket

$=23(390+1)$

$=23(391)$

Now, we can write 391 as multiple of 23 and 17.

$=23\times 23\times 17$

So, The given expression is expressed as multiple of numbers so it is a composite number.