Question

explain whether the following numbers are prime or composite number its of class 10 maths.. (3×5×13×46)+23​

Answer 1

15 ( 195) ( 8970)+( 8993

Answer 2

Answer:

Step-by-step explanation:

Yes, number 8993 is a composite number. Eight thousand, nine hundred and ninety-three is a composite number, because it has more divisors than 1 and itself

It is a composite number.

Let’s see if we can simplify the expression by getting rid of the plus sign.

We notice that  $46 = 2x23$,    so we see that we can simplify as follows: $3x5x13x46+23 = 23x(3x5x13x2+1) = 23x391$      , a product of two numbers (neither of which is 1). This shows that the number is composite.

Let’s go a step a step further. 23 is a prime number and it looks like 391 might be prime, also. But a little checking shows that   $391 = 17x23.$Therefore the prime factorization of the number in question is  $17x(23^2$).

hope it helps

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