How do you know if a 6 digit number is divisible by 7?
To determine whether a number is divisible by 7, you have to remove the last digit of the number, double it, and then subtract it from the remaining number. If the remainder is zero or a multiple of 7, then the number is divisible by 7. If the remainder is not zero or a multiple of 7, the number is not divisible by 7.
Since 106 divided by 7 leaves a remainder of 1, this means 999999 is the largest 6-digit number divisible by 7. And 999999 divided by 7 is 142857. So maybe the answer is 142857.
There are 14 numbers between 1 and 100 that are exactly divisible by 7. They can be listed as, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98.
The largest 6 digit number which is exactly divisible by 7, 11, 13. ∴ The largest 6 digit number is 999999. Option(2) 999999 is completely divisible by 7 or 11 or 13.
There are 128571 six digit numbers divisible by 7.
A six digit number is formed by repeating a 3-digit number such as 123123 etc. Any number of this form is always divisible by: Only 7. Only 7 and 11.
A number is divisible by another number if it can be divided equally by that number; that is, if it yields a whole number when divided by that number. For example, 6 is divisible by 3 (we say "3 divides 6") because 6/3 = 2, and 2 is a whole number.
The number 1001 is divisible by 1, 7, 11, 13, 77, 91, 143, 1001. For a number to be classified as a prime number, it should have exactly two factors.
Hence, the number of two digit natural numbers divisible by 7 is 13.
Hence, the correct answer is 720.
What high numbers are divisible by 7?
A number is divisible by 7 if it has a remainder of zero when divided by 7. Examples of numbers which are divisible by 7 are 28, 42, 56, 63, and 98. Divisibility by 7 can be checked by using long division, although this process can be quite time-consuming.
Detailed Solution. Given: 7, 9, 11, 13 and 15, divide the required largest five-digit numbers. ∴ 90090 is the largest five-digit number which is divisible by 7, 9, 11, 13 and 15.
Hence, 994 is the largest 3 digit number which is divisible by 7. So, the numbers that are divisible by 7 are: 105, 112, 119, ….., 987, 994. Since the common difference of the numbers in the above sequence is the same which is 7.
References
- https://www.sparknotes.com/math/prealgebra/wholenumbers/section2/
- https://testbook.com/question-answer/a-six-digit-number-is-formed-by-repeating-a-3-digi--604a3ab62ddd47acd3929b50
- https://math.stackexchange.com/questions/3380907/how-many-6-digit-numbers-are-divisible-by-7
- https://brainly.in/question/16576612
- https://us.sofatutor.com/math/videos/divisibility-rules-7
- https://www.cuemath.com/numbers/divisibility-rule-of-7/
- https://www.vedantu.com/question-answer/three-digit-numbers-are-divisible-by-7-a1-class-10-maths-cbse-5ef1b0b03f73b75da25bbd08
- https://testbook.com/question-answer/how-many-different-6-digit-numbers-can-be-formed-f--5f996d0677276a3d203802de
- https://testbook.com/question-answer/find-the-largest-6-digit-number-which-is-exactly-d--601d2825d755e0b3253f123c
- https://byjus.com/question-answer/how-many-twodigit-natural-numbers-are-divisible-by-7/
- https://testbook.com/question-answer/find-the-largest-five-digit-number-which-is-divisi--608a41d8a7a6393fb62bbba7
- https://www.cuemath.com/numbers/is-1001-a-prime-number/