a number is divisible by 7 and 13. by which other number will that number be always divisible
Answers
If number is divisible by another number, then it is also divisible by each of the factors of that number.
Example: 18 and 72.
72 ÷ 18 = 4 This show 72 is divisible by 18,
Factors of 18 = 1, 2, 3, 6, 9, 18
72 ÷ 1 = 72, 72 ÷ 2 = 36, 72 ÷ 3 = 24, 72 ÷ 6 = 12, 72 ÷ 9 = 8, 72 ÷ 18 = 4
Therefore, 72 is divisible by each of the factors of 18.
If a number is divisible by two co-prime numbers, then it is also divisible by their product.
Example: Let’s say 90 is divisible by 5 and 9. As we know 5 and 9 are co-prime numbers.
So 90 must be divisible by their products. i.e 5 x 9 = 45
90 ÷ 45 = 2
Therefore, 90 is divisible by product of the co-primes i,e 5 and 9.
If two given numbers are divisible by a number, then, their sum is also divisible by that number.
Example: 21 and 18 are divisible by 3.
21 ÷ 3 = 7, 18 ÷ 3 = 6
Sum of the two numbers is 21 + 18 = 39. Also 39 ÷ 3 = 13
Therefore, if 24 and 18 are divisible by 3, then their sum I,e 39 is also divisible by 3.
If two given numbers are divisible by a number, then their difference is also divisible by that number.
Example: 58 and 54 are divisible by 2.
58 ÷ 2 = 29, 54 ÷ 2 = 27.
Difference of the two numbers i,e 58 – 54 = 4 and 4 ÷ 2 = 2
Therefore, if 54 and 58 are divisible by 2, then their difference I,e 4 is also divisible by 2.
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