C-12-Q124mediumsingle_mcq

The least number of consecutive integers whose product is divisible by $5040$ is —

a $5$
b $6$
c $7$
d $8$

ব্যাখ্যা

Since $5040 = 7!$ , the product of any $7$ consecutive integers is always divisible by $7!$ , because such a product contains a multiple of each factor up to $7$ . Fewer than $7$ consecutive integers cannot guarantee this, so the least number is $7$ .

এই অধ্যায়ের আরও প্রশ্ন

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Simple Simultaneous Equations in Two Variables — সব প্রশ্ন দেখুন (152টি) →

The least number of consecutive integers whose product is divisible by $5040$ is —

5

6

7

8

The least number of consecutive integers whose product is divisible by 504050405040 is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The least number of consecutive integers whose product is divisible by 504050405040 is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The least number of consecutive integers whose product is divisible by $5040$ is —

The least number of consecutive integers whose product is divisible by $5040$ is —