Question

Show that 17 x 41 x 43 x 61 + 43 is a composite number. please do answer quickly .

Answer 1

Solutions 

17 x 41 x 43 x 61+43

 = 43(17 x 41 x 61+1)

 = 43 x 42518 x 1

2 factors are known as composite numbers, therefore the number is a composite. 

Answer 2

$\bf 17 \times 41 \times 43 \times 61 + 43=2 \times 7 \times 43 \times 3037$

It has been shown that it is a composite number.

Given:

• $17 \times 41 \times 43 \times 61 + 43$

To find:

• Show that the given number is composite number.

Solution:

Definition to be used:

Composite number: A number is said to be composite if it has atleast two prime factors which can be unique or distinct.

Smallest composite number is 4.

Step 1:

If there is no (+) sign in the number, then it is shown to be clearly composite.

But here, we have to remove that sign.

Take 43 common from both terms.

$= 43(17 \times 41 \times 61 + 1)$

Step 2:

It can't be further simplify without applying BODMAS.

So,

$= 43(42517 + 1)$

or

$=4 3 \times 42518$

Thus,

There are two factors; so, according to definition, we can say that it is composite number.

or

$\bf 17 \times 41 \times 43 \times 61 + 43=2 \times 7 \times 43 \times 3037$

Thus,

It has been shown that it is a composite number.

Learn more:

1) Explain why 7x11x13x17 + 17 is a composite number.

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2) What fraction of numbers from 2 to 12 are composite numbers

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