Math, asked by ayman361, 1 month ago

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Answered by atharvagathavale
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Answer:

Now, we have to explain 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.

So, we have to prove a given number has more than two factors (have factors other than 1 and the number itself).

Now,

⇒7×11×13+13⇒13(7×11+1)⇒13(77+1)⇒13×78⇒13×13×6⇒13×13×3×2

We can see that given numbers have more than two factors (other than 1 and number itself). So, 7×11×13+13 number is a composite number.

Now,

⇒7×6×5×4×3×2×1+5⇒5(7×6×4×3×2×1+1)⇒5(1008+1)⇒5×1009

We can see given numbers have more than two factors (other than 1 and number itself). So, 7×6×5×4×3×2×1+5 number is a composite number.

So, it's proved 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.

Note: Whenever we face such types of problems we use some important points. First we factories the given number into more than two factors (other than 1 and number itself). So, any number that has more than two factors (other than 1 and number itself) are called composite numbers.

Step-by-step explanation:

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