The factors of 36 are the numbers that can multiply together to give the product of 36.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
For example: 1 × 36 = 36 2 × 18 = 36 3 × 12 = 36 4 × 9 = 36 6 × 6 = 36
Factors of 36 by Division Method
Using the division method to find the factors of 36 involves dividing 36 by numbers in sequential order to see which ones result in whole numbers. Let's determine the factors of36
36 step by step:
Certainly! Below is the table that demonstrates the division of 36 by numbers 2 through 6:
| Divisor | Result | Is it a factor? |
|---|---|---|
| 2 | 18 | Yes |
| 3 | 12 | Yes |
| 4 | 9 | Yes |
| 5 | Not a whole number | No |
| 6 | 6 | Yes |
From the table, you can see that 2, 3, 4, and 6 are factors of 36, while 5 is not.
You can continue the process, but after 6, the numbers will just be a repeat (in reverse order) of the factors we've already found.So, the factors of 36 by the division method are: 1,2,3,4,6,9,12,18, and
36.
Positive and Negative Factors of 36
Every positive factor of a number will have a corresponding negative factor. So, if we list out the positive factors of 36, we can easily determine its negative factors.
Positive factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36.
Negative factors of 36 (simply the negative of each positive factor):
-1, -2, -3, -4, -6, -9, -12, -18, -36.
Together, these are the positive and negative factors of 36.
What is the factor tree of 36?
A factor tree breaks down a number into its prime factors. Here's how you can create a factor tree for 3636:
- Start with the number 36.
- Find two factors of 36. We can start with 66 and 66 since 6×6=366×6=36.
- Break down 66 further since it is not a prime number. The factors of 66 are 22 and 33, where both are prime numbers.
The factor tree for 36:
36
/ \
6 6
/ \ / \
2 3 2 3