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In this chapter of mathematics, you will study about how to find your multiples of 2. You will learn what process you can implement to figure out what is a multiple of 2. In addition, you will study about the special numbers that determine all multiples of 2. You will further learn to identify and distinguish between a factor and a multiple.
Contents
Examples of Factors
For Example: let’s take factor of 12
3 × 4 = 12, thus, 3 and 4 are factors of 12
Also, 2 × 6 = 12, thus 2 and 6 are factors of 12 as well,
And 1 × 12 = 12, therefore, 1 and 12 also makes for factors of 12 .
And seeing that, multiplying negatives makes a positive, −1, −2, −3, −4, −6 and −12 are factors of 12 as well:
hence, we have all the factors of 12 that are:
1, 2, 3, 4, 6 and 12 and (−1), (−2), (−3), (−4), (−6) and (−12)
Note: A number or positive integer can have many factors.
Examples of Multiples
Multiples of 3: On a number line, if you see
Multiples of 3: will come out to be 3, 6, 9, 0, −3, −6, −9
15 is a multiple of 3, as in 3 × 5 = 15.
Finding Multiples of 2
From the description above, we observe that our multiples of 2 are identified simply multiplying any number by 2. We are aware that multiplication means repeated addition. This means that anytime we multiply something by 2, it basically implies that we are adding that number twice.
So, 4 × 2 is 4 + 4 = 8. This also implies that when we see a number being multiplied by 2, we can straight away carry out the addition of that number with itself. Likewise 5 × 2 is 5 + 5 = 10. 7 × 2 = 7 + 7 = 14. So, to make things easier, you can conduct the addition until you have memorized the multiples of 2. Refer to the table below to see what happens as we start to multiply our numbers by 2:
Fun Fact in Finding Multiples of 2
Do you observe an interesting pattern here? Why, the last digits of multiples of 2 appear to accompany a repeating pattern of 2, 4, 6, 8, 0, 2, 4, 6, 8, 0, etc in a way of spacing of 2 numbers in between each. With this, we can tell that any multiple of 2 will terminate in a 2, 4, 6, 8 or 0. Make a point that if it ends in any other number, then it will not be a multiple of 2. This also makes it certainly simpler to find the multiples of 2.
You need to just begin counting off the pattern and once you get to 8, you need to add 1 to the digits before the last digit. Thus, after 28 comes 30 since 2 + 1 = 3, (the digits before the last digit plus 1), after 78 comes 80 since 7 + 1 = 8.
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