Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8

Q.

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

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

As we know, for a number to be a composite number, it must have factors other than 1 and itself. ]

Thus, for the given expression;

7 × 11 × 13 + 13

It can be rewritten as,

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

Since we have obtained 2 different factors, 7 × 11 × 13 + 13 is a composite number.

Now for the other expression,

7 × 6 × 5 × 4 × 3 × 2 × 1 + 5

It can be rewritten as,

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

Since we have obtained 2 different factors, 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 is a composite number.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.