How many times does 4 go into 36
The correct answer and explanation is:
The number 4 goes into 36 exactly 9 times.
Explanation:
To understand why 4 goes into 36 nine times, let’s break down the problem step-by-step.
The question “How many times does 4 go into 36?” is asking how many groups of 4 can be made from the number 36. In other words, it is a division problem: 36÷4=?36 \div 4 = ?
Division is the process of determining how many equal parts (or groups) of a certain size can be made from a larger number. Here, the larger number is 36, and the size of each group is 4.
To solve:
- Start with 36 — the total quantity you want to divide.
- Divide it into groups of 4 — meaning, keep subtracting 4 repeatedly from 36 until nothing remains.
Let’s subtract stepwise:
- 36 – 4 = 32 (1 group)
- 32 – 4 = 28 (2 groups)
- 28 – 4 = 24 (3 groups)
- 24 – 4 = 20 (4 groups)
- 20 – 4 = 16 (5 groups)
- 16 – 4 = 12 (6 groups)
- 12 – 4 = 8 (7 groups)
- 8 – 4 = 4 (8 groups)
- 4 – 4 = 0 (9 groups)
After subtracting 4 nine times, you reach 0, meaning there are exactly 9 groups of 4 in 36.
Another way to think about it is using multiplication: 4×9=364 \times 9 = 36
Multiplying 4 by 9 gives you 36, confirming that 4 fits into 36 exactly nine times.
Why is this useful?
Understanding how many times one number fits into another is fundamental in many aspects of math, including fractions, ratios, and problem-solving. It also helps with dividing things equally in real life, such as sharing items among people.
In summary, 4 goes into 36 nine times because dividing 36 by 4 equals 9, which means 36 is composed of 9 groups of 4.