What are the factors of 360?

Steps to Solve

1. Identify the number to factor

We need to find the factors of the number 360.

2. Start with the smallest integer

Begin with the smallest integer, which is 1, and divide 360 by it: $$ 360 \div 1 = 360 $$ So, both 1 and 360 are factors.

3. Continue with increasing integers

Next, move to 2: $$ 360 \div 2 = 180 $$ So, 2 and 180 are factors.

4. Check for divisibility with each integer

Continue checking divisibility for each integer up to the square root of 360 (which is approximately 19):

• For 3, $$ 360 \div 3 = 120 $$ Factors: 3 and 120.

• For 4, $$ 360 \div 4 = 90 $$ Factors: 4 and 90.

• For 5, $$ 360 \div 5 = 72 $$ Factors: 5 and 72.

• For 6, $$ 360 \div 6 = 60 $$ Factors: 6 and 60.

• For 8, $$ 360 \div 8 = 45 $$ Factors: 8 and 45.

• For 9, $$ 360 \div 9 = 40 $$ Factors: 9 and 40.

• For 10, $$ 360 \div 10 = 36 $$ Factors: 10 and 36.

• For 12, $$ 360 \div 12 = 30 $$ Factors: 12 and 30.

• For 15, $$ 360 \div 15 = 24 $$ Factors: 15 and 24.

• For 18, $$ 360 \div 18 = 20 $$ Factors: 18 and 20.

5. Compile all the factors

Now list all the factors found: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.