what are some factors of 36
What do you think they are?
Start with 1 and 36.
Any number(1 to 36) that will divide
into 36 without a remainder(R) is a factor of 36: 36/1 = 36(R=0),36/2 = 18(R=0). 1 and 2 are factors of 36 because there was no remainder.
36 / 10 = 3(R=6), 36 / 5 = 7(R=1).
10 and 5 are not factors because we
have remainders.
To find the factors of 36, we need to determine the numbers that divide evenly into 36 without leaving a remainder. Here's how you can do it:
1. Start by dividing 36 with the smallest possible prime number, which is 2. 36 divided by 2 equals 18.
2. Now, check if 18 is divisible by 2. It is, and 18 divided by 2 equals 9.
3. Continue dividing by prime numbers until you cannot divide anymore. Check if the resulting quotient from the previous step can be divided by 2. If yes, repeat step 2. Otherwise, move on to the next prime number, which is 3.
4. Divide the result from step 3, which is 9, by 3. 9 divided by 3 equals 3.
So, the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Alternatively, you can also use a factorization tree or a list to systematically find the factors of 36.