What is mod7?

The modulus method requires us to first find out what the highest common multiple of the Divisor (7) is that is equal to or less than the Dividend (5). We can see that multiples of 7 are 0, 7, 14, 21, etc. The highest multiple that is less than or equal to 5 is 0.

What is 2 mod7?

Next we take the Whole part of the Quotient (0) and multiply that by the Divisor (7): 0 x 7 = 0. And finally, we take the answer in the second step and subtract it from the Dividend to get the answer to 2 mod 7: 2 – 0 = 2. As you can see, the answer to 2 mod 7 is 2.

What does 5mod2 mean?

For example, the expression “5 mod 2” would evaluate to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while “9 mod 3” would evaluate to 0, because the division of 9 by 3 has a quotient of 3 and a remainder of 0; there is nothing to subtract from 9 after multiplying 3 times 3.

What is the value of x=4 if 3x=5 mod 7?

We see that 5 x 3 = 1 mod 7. So given the equation 3x=5 mod 7, if we multiply both sides by 5, we’ll have 15x = 25 mod 7. But 15 = 1 mod 7, and 25 = 4 mod 7, so simplifying we have 1x = 4 mod 7, and thus x=4.

How do you find 5 mod 7 with multiples of 3?

Method #1: List positive multiples of 3 until you find one congruent to 5 mod 7: 3, 6, 9, 12, 15, 18, 21, 24…. By inspection, 12 is a multiple of 3 which is congruent to 5 mod 7. Since 12 = 3 (4), it follows that x=4 is a solution.

How do you solve 5 mod 7 with 12?

There are a few ways to go about solving this one. Method #1: List positive multiples of 3 until you find one congruent to 5 mod 7: 3, 6, 9, 12, 15, 18, 21, 24…. By inspection, 12 is a multiple of 3 which is congruent to 5 mod 7. Since 12 = 3 (4), it follows that x=4 is a solution.

What is the remainder of 15 mod 3?

Another example of modulo function is 15 mod 3. In this case,15 is exactly divided by 3. Thus, the remainder should be 0. Hence 15 mod 3 is 0.