13. Which of the following numbers are divisible by $6$ ?
(i) $835704$

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Solution

A number is divisible by $6$ only when the number is divisible by $2 a n d 3$ both.
In $835704$ last digit is even so this number is divisible by $2$ and the sum of the digits i.e. $8 + 3 + 5 + 7 + 0 + 4 = 27$ and $27$ is divisible by $3$ .
As we can see that $835704$ is divisible by $2 a n d 3$ both so this number is divisible by $6$ .

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Similar questions

Q. Find the sum of

(i) the first 15 multiples of 8

(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.

(iii) all 3 − digit natural numbers which are divisible by 13.

(iv) all 3 - digit natural numbers, which are multiples of 11.

Find the sum of
(i) the first 15 multiples of 8
(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.
(iii) all 3-digit natural numbers, which are divisible by 13.
(iv) all 3-digit natural numbers, which are multiples of 11.
(v) all 2-digit natural numbers divisible by 4.

Q. Which of the following numbers are divisible by 6?

Using divisibility tests, determine which of following numbers are divisible by 6:

(a) 297144 (b) 1258 (c) 4335 (d) 61233

(e) 901352 (f) 438750 (g) 1790184 (h) 12583

(i) 639210 (j) 17852

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13. Which of the following numbers are divisible by 6?(i) 835704

A number is divisible by 6 only when the number is divisible by 2and3 both.In 835704 last digit is even so this number is divisible by 2 and the sum of the digits i.e. 8+3+5+7+0+4=27 and 27is divisible by 3.As we can see that 835704is divisible by 2and3 both so this number is divisible by 6.

13. Which of the following numbers are divisible by $6$ ?
(i) $835704$