Q: What are the factor combinations of the number 400,621,661?

 A:
Positive:   1 x 40062166111 x 3642015183 x 4826767523 x 766007839 x 477499913 x 4387975753 x 696379229 x 43409
Negative: -1 x -400621661-11 x -36420151-83 x -4826767-523 x -766007-839 x -477499-913 x -438797-5753 x -69637-9229 x -43409


How do I find the factor combinations of the number 400,621,661?

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 400,621,661, 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.

1 400,621,661
-1 -400,621,661

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 400,621,661.

Example:
1 x 400,621,661 = 400,621,661
and
-1 x -400,621,661 = 400,621,661
Notice both answers equal 400,621,661

With that explanation out of the way, let's continue. Next, we take the number 400,621,661 and divide it by 2:

400,621,661 ÷ 2 = 200,310,830.5

If the quotient is a whole number, then 2 and 200,310,830.5 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:

1 400,621,661
-1 -400,621,661

Now, we try dividing 400,621,661 by 3:

400,621,661 ÷ 3 = 133,540,553.6667

If the quotient is a whole number, then 3 and 133,540,553.6667 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:

1 400,621,661
-1 -400,621,661

Let's try dividing by 4:

400,621,661 ÷ 4 = 100,155,415.25

If the quotient is a whole number, then 4 and 100,155,415.25 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:

1 400,621,661
-1 400,621,661
Keep dividing by the next highest number until you cannot divide anymore.

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

111835238399135,7539,22943,40969,637438,797477,499766,0074,826,76736,420,151400,621,661
-1-11-83-523-839-913-5,753-9,229-43,409-69,637-438,797-477,499-766,007-4,826,767-36,420,151-400,621,661

More Examples

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