37 mod 3 – Remainder of 37 Divided by 3

37 mod 3, 37 modulo 3 as well as 37 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 37 by 3.

37 mod 3 = 1

What is 37 modulo 3?

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

So, the answer is:

37 modulo 3 = 1

Next, we show you the math.

How is 37 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 37 / 3 called quotient: 12
2. Multiply the quotient by the divisor: 12 × 3 = 36
3. Subtract the result from step 2 from the dividend: 37 – 36 = 1

Proof: 1 = (12 × 3) + 1.

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Similar calculations include, for example:

• 42 mod 3
• 43 mod 3
• 44 mod 3

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