Q: What are the factor combinations of the number 396,699,457?

 A:
Positive:   1 x 3966994577 x 5667135111 x 3606358777 x 5151941163 x 24337391141 x 3476771793 x 22124912551 x 31607
Negative: -1 x -396699457-7 x -56671351-11 x -36063587-77 x -5151941-163 x -2433739-1141 x -347677-1793 x -221249-12551 x -31607


How do I find the factor combinations of the number 396,699,457?

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 396,699,457, 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.

1 396,699,457
-1 -396,699,457

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 396,699,457.

Example:
1 x 396,699,457 = 396,699,457
and
-1 x -396,699,457 = 396,699,457
Notice both answers equal 396,699,457

With that explanation out of the way, let's continue. Next, we take the number 396,699,457 and divide it by 2:

396,699,457 ÷ 2 = 198,349,728.5

If the quotient is a whole number, then 2 and 198,349,728.5 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:

1 396,699,457
-1 -396,699,457

Now, we try dividing 396,699,457 by 3:

396,699,457 ÷ 3 = 132,233,152.3333

If the quotient is a whole number, then 3 and 132,233,152.3333 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:

1 396,699,457
-1 -396,699,457

Let's try dividing by 4:

396,699,457 ÷ 4 = 99,174,864.25

If the quotient is a whole number, then 4 and 99,174,864.25 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:

1 396,699,457
-1 396,699,457
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771631,1411,79312,55131,607221,249347,6772,433,7395,151,94136,063,58756,671,351396,699,457
-1-7-11-77-163-1,141-1,793-12,551-31,607-221,249-347,677-2,433,739-5,151,941-36,063,587-56,671,351-396,699,457

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