49 mod 3 – Remainder of 49 Divided by 3

49 mod 3, 49 modulo 3 as well as 49 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 49 by 3.

49 mod 3 = 1

What is 49 modulo 3?

• 49 is the dividend
• 3 is the divisor (modulo)
• 1 is the remainder

So, the answer is:

49 modulo 3 = 1

Next, we show you the math.

How is 49 mod 3 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

1. Take the whole part of 49 / 3 called quotient: 16
2. Multiply the quotient by the divisor: 16 × 3 = 48
3. Subtract the result from step 2 from the dividend: 49 – 48 = 1

Proof: 1 = (16 × 3) + 1.

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Similar calculations include, for example:

• 54 mod 3
• 55 mod 3
• 56 mod 3

– Article written by Mark, last updated on January 11th, 2024