List all the factors of 45
Well let's see
I can divide it by 5
45 = 5 * 9
but I can divide 9 by 3
45 = 5 * 3 *3
There is not much more I can do. Those must be the "prime" factors.
thanks
Of course you better make sure that 3 times 3 times 5 is what we hope it is!!
To list all the factors of a given number, such as 45, you need to find all the numbers that divide evenly into 45 without leaving a remainder.
One way to determine the factors is to start dividing the number by progressively smaller numbers, starting from 1 and going up to the square root of the number. If the division is exact (no remainder), both the divisor and the quotient are factors.
Let's apply this approach to find the factors of 45:
Dividing 45 by 1: 45 ÷ 1 = 45 (no remainder) - 1 and 45 are factors.
Dividing 45 by 2: 45 ÷ 2 = 22.5 (not exact).
Dividing 45 by 3: 45 ÷ 3 = 15 (no remainder) - 3 and 15 are factors.
Dividing 45 by 4: 45 ÷ 4 = 11.25 (not exact).
Dividing 45 by 5: 45 ÷ 5 = 9 (no remainder) - 5 and 9 are factors.
Dividing 45 by 6: 45 ÷ 6 = 7.5 (not exact).
Dividing 45 by 7: 45 ÷ 7 = 6.43 (not exact).
Dividing 45 by 8: 45 ÷ 8 = 5.63 (not exact).
Dividing 45 by 9: 45 ÷ 9 = 5 (no remainder) - 9 and 5 are factors.
Dividing 45 by 10: 45 ÷ 10 = 4.5 (not exact).
Therefore, the factors of 45 are: 1, 3, 5, 9, 15, and 45.