Math Tutor Explains: Multiples of 1236

Multiples of 1236 are numbers that can be evenly divided by 1236 without leaving a remainder. A math tutor might explain it as the result of multiplying 1236 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 1236

Methods

Methods for Finding Multiples from a Math Tutor

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 1236, you could just multiply 1236 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 1236, start at 1236 and keep adding 1236 over and over: 1236, 2472, 3708, 4944, and so on. Each of these numbers is a multiple of 1236.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

What are the Multiples of 1236?

Let’s find the first 10 multiples of 1236 by multiplying:

12361=12361236 * 1 = 1236

12362=24721236 * 2 = 2472

12363=37081236 * 3 = 3708

12364=49441236 * 4 = 4944

12365=61801236 * 5 = 6180

12366=74161236 * 6 = 7416

12367=86521236 * 7 = 8652

12368=98881236 * 8 = 9888

12369=111241236 * 9 = 11124

123610=123601236 * 10 = 12360

So, the first 10 multiples of 1236 are: 1236, 2472, 3708, 4944, 4944, 7416, 8652, 9888, 11124 and 12360.

Interesting Facts about Multiples from a Math Tutor

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative numbers.

Math Tutor Tip: Try to Find The Multiples of Other Numbers

Finding multiples of any number can be done using the same methods as outlined above. You can see how this can be done with specific numbers, like the ones below, by clicking on the any of the links below:

Multiples of 680 - The first five multiples of 680 are 680, 1360, 2040, 2720, 3400

Multiples of 661 - The first five multiples of 661 are 661, 1322, 1983, 2644, 3305

Multiples of 363 - The first five multiples of 363 are 363, 726, 1089, 1452, 1815

Multiples of 632 - The first five multiples of 632 are 632, 1264, 1896, 2528, 3160

Multiples of 261 - The first five multiples of 261 are 261, 522, 783, 1044, 1305

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