30 (and all its multiples!)
which least number should be subtracted from 1000 so that 30 divides the difference exactly
to answer a prime number you must find a number that goes into it and that divides by itself :)
Not possible. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.
You have to carry out the multiplication and thentruncate the answer to find the lower whole number,add 1 to that to find the next whole number.
A whole number IS a real number so you do not have to do anything.
Answer: 2Solution: The greatest common factor of two numbers is defined as the largest number that divides both numbers into whole numbers (i.e. divides the numbers evenly).The easiest way to find the G.C.F. in this case is to begin by listing the factors of the smaller number:Factors of 70: 70, 35, 14, 10, 7, 5, 2, 1See if 70 divides 458 evenly (it does not), then 35 (again, it does not), and so on...until we find a factor of 70 that is also a factor of 458. We find that 2 is the largest such number.
Find a number that evenly divides each term of the expression.
A whole number is co-prime with another whole number if their GCF is 1.
This is a slight twist to the normal find the GCF of two numbers. In this case as a remainder of 7 is required, subtracting 7 from each number and then finding the GCF of the resulting numbers will solve the problem: 742 - 7 = 735 1162 - 7 = 1155 GCF of 1155 and 735 (using Euclid's method): 1155 / 735 = 1 r 420 735 / 420 = 1 r 315 420 / 315 = 1 r 105 315 / 105 = 3 r 0 GCF of 735 & 1155 is 105, thus 105 is the greatest number that will divide 742 and 1162 leaving a remainder of exactly 7 each time.
check if 2 divides the Numbercheck if 3 divides the Numbercheck if 5 divides the Number...check if any prime numbers less than the square root of the Number divide the NumberIf any do, the Number is composite; otherwise the Number is prime.This is called the Sieve of Erasthenes.An easy way to check if a prime number divides the Number in base ten (if you don't have a calculator) is to add or subtract 1 or 3 times the prime number to the Number, so that the sum or difference is a multiple of ten (if the prime number isn't 2 or 5). Knock off the zero. If the prime number divides the new number, it also divides the Number; otherwise it doesn't.
Assuming that 001, 080, etc are not allowed (that is a leading zero or two is not permitted), the smallest number with exactly three digits is 100. The largest number with exactly three digits is 999. So there are 999 - 100 + 1 = 900 numbers with exactly three digits.
There is no greatest whole number. If x were the greatest whole number then what about x+1? It would be greater than x and it would be a whole number!