Q: What are the factor combinations of the number 240,466,037?

 A:
Positive:   1 x 2404660377 x 3435229117 x 14145061119 x 2020723
Negative: -1 x -240466037-7 x -34352291-17 x -14145061-119 x -2020723


How do I find the factor combinations of the number 240,466,037?

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 240,466,037, 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.

1 240,466,037
-1 -240,466,037

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 240,466,037.

Example:
1 x 240,466,037 = 240,466,037
and
-1 x -240,466,037 = 240,466,037
Notice both answers equal 240,466,037

With that explanation out of the way, let's continue. Next, we take the number 240,466,037 and divide it by 2:

240,466,037 ÷ 2 = 120,233,018.5

If the quotient is a whole number, then 2 and 120,233,018.5 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:

1 240,466,037
-1 -240,466,037

Now, we try dividing 240,466,037 by 3:

240,466,037 ÷ 3 = 80,155,345.6667

If the quotient is a whole number, then 3 and 80,155,345.6667 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:

1 240,466,037
-1 -240,466,037

Let's try dividing by 4:

240,466,037 ÷ 4 = 60,116,509.25

If the quotient is a whole number, then 4 and 60,116,509.25 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:

1 240,466,037
-1 240,466,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192,020,72314,145,06134,352,291240,466,037
-1-7-17-119-2,020,723-14,145,061-34,352,291-240,466,037

More Examples

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