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Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are …

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

Posted by Mitansh Gupta 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Anmol Preet 4 years, 5 months ago

7×11×13+13 = 7×11×26 •26 is a composite number. So, 7×11×13+13 is a composite number. 7×6×5×4×3×2×1+5. In this, number 6,4 etc., are composite numbers. Also, +5 will become a composite number. 7×6×5×4×3×2×1+5 is a composite number.

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Adithya Dev A 4 years, 5 months ago

The number 7 * 11 * 13 + 13 can also be written as 13 (7 * 11 + 1). This means that the number has two other factors 13 and 78 while not considering 1 and the number itself. The case is similar for the number 7 * 6 * 5 * 4 * 3 * 2 * 1 + 5 which can also be written as 5 (7 * 6 * 4 * 3 * 2 * 1 + 1). Therefore, both these numbers are COMPOSITE in nature.

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