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Every natural number from 1 to 2010 is divided by 7 each leaving a remainder between 0 and 6 what is the sum of these remainders?
For the first seven numbers:
1 / 7 gives a remainder of 1
2 / 7 gives a remainder of 2
3 / 7 gives a remainder of 3
4 / 7 gives a remainder of 4
5 / 7 gives a remainder of 5
6 / 7 gives a remainder of 6
7 / 7 gives a remainder of 0
... for a total of 21.
After this, the pattern repeats. So, you need to find the closest multiple of seven that is less than 2010, see how many "cycles" you have there, multiply the number of cycles by 21, then separate calculate the remainder for the last few numbers.
What else can I help you with?
What number can be divided in 46 without leaving a remainder?
46 can be divided by these numbers without leaving a remainder: 1 2 23 and 46.
What is divided by 931 with no remainder?
931 divided by 931 equals 1 with a remainder of 0. All multiples of 931 can be divided by 931 leaving no remainder.
What number can be divided in 99 and 100 without leaving a remainder?
1 can be divided into both numbers with no remainder
What is 49 divided but does not give you a remainder?
49 can be divided by these numbers without leaving a remainder: 1 7 and 49.
What can be divided by a number without leaving a denominator?
Any whole number can be divided by 1 without leaving a remainder.
Can be divided by a number with out leaving a remainder?
That's the definition of a multiple.
What is the remainder when 22 is divided by 6?
3.6667
Can be divided by a number without leaving a remainer?
Any number. Can be divided by 1 without remainder.
What can be divided by a number without leaving a remainder?
Any multiple of that number can be.
What is the smallest number that can be divided by2 and 3 leaving no remainder?
Six.
Can be divided by another number without leaving a remainder?
That's the definition of a multiple.
What can you divide 105 into?
105 can be divided evenly by 1, 3, 5, 7, 15, 21, 35, and 105. These are all the factors of 105, meaning they divide into 105 without leaving a remainder. Additionally, 105 can be divided by other numbers that are not factors, but those divisions will result in remainders.
