Solution: The greatest 3-digit number is 999. The sum of all digits of the number 999 is 9 + 9 + 9 = 27, which is divisible by 3. Therefore, 999 is also divisible by 3.
Numbers that are divisible by 3 can be split into equal parts of 3 with no remainder, like 12 in the earlier example. Other numbers divisible by 3 include 9, 15, 18, 21, and so on.
999 is for life-threatening emergencies like serious road traffic accidents, strokes and heart attacks. Examples of life-threatening emergencies include (but are not limited to): chest pain. difficulty in breathing.
The divisibility rule for 9 can be extended for divisors composed entirely of 9s like 99, 999, 9999 etc. The rule for 9 is that “If the sum of the digits of the number is divisible by 9, then the number is divisible by 9”. We can avoid division by repeating the addition if the sum of the digits has more than 1 digit.
Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3. Consider a number, 308. To check whether 308 is divisible by 3 or not, take sum of the digits (i.e. 3+0+8= 11).
These numbers are called the factors of 529. Since the prime factorisation of 529 is 529 = 23 ✕ 23 = 232, the factors of 529 are 1, 23, and 529. Therefore 529 is exactly divisible by 1, 23, and 529.
As the divisibility rule of 3 states that a number is divisible by 3 only when the sum of individual digits is divisible by 3. So, the 4 different even digit numbers are divisible by 3 = set of (2, 4, 6, 0) and (8, 6, 4, 0).
The rule of 3 is an operation that helps us quickly solve both direct and inverse proportion word problems. In order to use the rule of 3, we need three values: two that are proportional to one another and a third. From there, we will figure out the fourth value.
We know that the multiples of 3 are the numbers that are exactly divisible by 3. But the numbers 16, 22, 28, and 31 are not the multiples of 3 as they leave some remainder value.
The least common multiple (LCM) is the smallest number that two or more numbers can divide into evenly. To find the LCM, you can use the prime factorization method or list the multiples of each number.
Rodin's theory asserts that the number 9 is of special significance, acting as a “control” or “field” number. It also proposes that the numbers 3 and 6 represent physical and metaphysical realms, respectively, in an oscillating pattern of expansion and contraction.
The factors of 99 are 1, 3, 9, 11, 33 and 99. Each of these numbers divides 99 without leaving any remainder. To find other factors, check if the given number is divisible by each number smaller than it.
- Prime factorisation of 17: 17 is a prime number, not a factor of 343. - 343 is not divisible by 17. - 999 is not divisible by 99 because it lacks the factor 11.
