Is 5,142,376,298 divisible by 3? A calculator would come in handy for this question. Unfortunately, the calculator displays up to eight digits. If a number is greater than eight digits, then ERROR will be displayed. Since 5,142,376,298 is greater than the eight...
Techniques to Solve Remainder Questions
Certain problems involving remainders can be solved easily by Plugging in numbers that fit the problem. For example: When positive integer x is divided by 5, the remainder is 3. When the positive integer y is divided by 5, the remainder is 4. What is the remainder...
Creating Numbers with Certain Remainders
Let's begin by solving 29 ÷ 11. Note that 29 = 11 × 2 + 7 This can be generalized as n = d × quotient + remainder (a very important relation tested) We can also write that: 29 is 7 more than 22, or that 29 is 7 more than a multiple of 11 (since 22 is a multiple of...
Remainder if the Dividend (n) & Divisor (d) is Negative
Let's begin with a question. When ?17 (n) is divided by 7 (d), what is the quotient and the remainder? Quotient is ?3 and remainder is 4 Quotient is 2 and remainder is -31 This is a wrong question. n cannot be negative. We already know from earlier lessons that...
How to find Remainders of Decimal Numbers
19 ÷ 5 can be viewed in many different ways, depending on what the question asks. It can be viewed as a Simple Fraction, i.e. 19/5, which can be solved using the long division to get the quotient of 3 and the remainder of 4. ....or it can be viewed as a mixed...
Why is the Remainder is always less than the Divisor?
When you divide an integer by 6, the remainder could not be which of the following? Select all that apply 0 1 2 3 4 5 6 7 8 9 10 When you divide an integer by 6, the remainder could be 0, 1, 2, 3, 4, or 5. We already know that the remainder cannot be negative....
What is the Remainder when Dividend is less than the Divisor?
We'll begin by refreshing the following conditions that are respected. In remainder problems, when an integer n is divided by a nonzero integer d: n must be an integer, d must be a non-zero integer, d ? 0 the quotient must be an integer, the remainder must be a...
Basics of Quotient & Remainders
When an integer n is divided by a nonzero integer d, the quotient refers to the integer part of the result. For instance, when 300 (n) is divided by 15 (d), the result is 20. The quotient is 20 and the remainder is 0. Also written as 300 ÷ 15 = "20 Remainder 0" or "20...
What are Multiples?
Multiples of any number are formed by multiplying that number by an integer. For example, you want to find the multiples of 6. You can do that by multiplying 6 by other integers. 6 × 1 = 6; 6 × 2 = 12; 6 × 3 = 18; 6 × 4 = 24; 6 × 0 = 0; 6 × -2 = -12.... So the...
Basics of Factors & Divisors
We already know that 15 is divisible by 3 because the result of 15 ÷ 3 is an integer. Similarly, 15 is divisible by several other integers. 15 is divisible by 1, 3, 5, and 15. And 15 is also divisible by -1, -3, -5, and -15. In total, 15 is divisible by 8 integers: 1,...