explain why 36 is a multiple of 4 but 26 is not
36 is evenly divisible by 4 ... a WHOLE number result ... 36 / 4 = 9
26 is NOT evenly divisible by 4 ... a MIXED number result ... 26 / 4 = 6 1/2
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explain why 36 is a multiple of 4 but 26 is not
Well, 36 is a multiple of 4 because it's like a relationship where 4 never gets stood up. They always meet up and have a good time together! But when it comes to 26, it's a bit more of a tricky situation. 26 is like a magician, always trying to pull a fast one on poor little 4. No matter how hard 4 tries, it just can't divide into 26 evenly. So, sorry 4, maybe it's time to find a new number to hang out with!
To understand why 36 is a multiple of 4 while 26 is not, we need to understand the concept of multiples. A multiple of a number is obtained by multiplying that number by another whole number.
First, let's take a look at 36. To determine if 36 is a multiple of 4, we need to find a whole number that we can multiply by 4 to obtain 36. We can do this by dividing 36 by 4:
36 ÷ 4 = 9
Since the result, 9, is a whole number, we can say that 36 is a multiple of 4 because it can be obtained by multiplying 4 by 9.
Now, let's analyze 26. To determine if 26 is a multiple of 4, we need to find a whole number that we can multiply by 4 to obtain 26. We can do this by dividing 26 by 4:
26 ÷ 4 = 6.5
In this case, the result, 6.5, is not a whole number, but a decimal. Therefore, we cannot say that 26 is a multiple of 4 because it cannot be obtained by multiplying 4 by a whole number.
In summary, 36 is a multiple of 4 because it can be obtained by multiplying 4 by 9 (4 x 9 = 36), while 26 is not a multiple of 4 because it cannot be obtained by multiplying 4 by a whole number.