Q: What are the factor combinations of the number 240,243,145?

 A:
Positive:   1 x 2402431455 x 48048629101 x 2378645505 x 475729
Negative: -1 x -240243145-5 x -48048629-101 x -2378645-505 x -475729


How do I find the factor combinations of the number 240,243,145?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 240,243,145, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 240,243,145
-1 -240,243,145

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 240,243,145.

Example:
1 x 240,243,145 = 240,243,145
and
-1 x -240,243,145 = 240,243,145
Notice both answers equal 240,243,145

With that explanation out of the way, let's continue. Next, we take the number 240,243,145 and divide it by 2:

240,243,145 ÷ 2 = 120,121,572.5

If the quotient is a whole number, then 2 and 120,121,572.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 240,243,145
-1 -240,243,145

Now, we try dividing 240,243,145 by 3:

240,243,145 ÷ 3 = 80,081,048.3333

If the quotient is a whole number, then 3 and 80,081,048.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 240,243,145
-1 -240,243,145

Let's try dividing by 4:

240,243,145 ÷ 4 = 60,060,786.25

If the quotient is a whole number, then 4 and 60,060,786.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 240,243,145
-1 240,243,145
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15101505475,7292,378,64548,048,629240,243,145
-1-5-101-505-475,729-2,378,645-48,048,629-240,243,145

More Examples

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