Question

6. Explain why 7* 11 * 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers.​

Answer 1

Answer:

Because they have more than 2 factors.

Step-by-step explanation:

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Answer 2

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Answer

Yes, they are composite number, because they comprise more than 1 factor.

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We use distributive property.

Let's see 7 * 11 * 13 + 13 first.

By observation,

it is a sum of 7 * 11 * 13 and 13

By observation,

they have one common factor, which is 13

Now, we use 'inverse' of 'distributive property' now. (factorization)

The expression is equal to 13 * ( 7 * 11 + 1 )

Now it is clear that there are more than 1 factor.

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Let's see 7 * 6 * 5 * 4 * 3 * 2 * 1 + 5 now.

By observation,

it is a sum of 7 * 6 * 5 * 4 * 3 * 2 * 1 and 5

By observation,

they have one common factor, which is 5

Now we factorize it.

The expression is equal to 5 * ( 7 * 6 * 4 * 3 * 2 * 1 + 1 )

Now it is clear that there are more than 1 factor.