Q: What are the factor combinations of the number 400,640,455?

 A:
Positive:   1 x 4006404555 x 8012809147 x 8524265235 x 1704853449 x 8922952245 x 1784593797 x 10551518985 x 21103
Negative: -1 x -400640455-5 x -80128091-47 x -8524265-235 x -1704853-449 x -892295-2245 x -178459-3797 x -105515-18985 x -21103


How do I find the factor combinations of the number 400,640,455?

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 400,640,455, 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.

1 400,640,455
-1 -400,640,455

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 400,640,455.

Example:
1 x 400,640,455 = 400,640,455
and
-1 x -400,640,455 = 400,640,455
Notice both answers equal 400,640,455

With that explanation out of the way, let's continue. Next, we take the number 400,640,455 and divide it by 2:

400,640,455 ÷ 2 = 200,320,227.5

If the quotient is a whole number, then 2 and 200,320,227.5 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:

1 400,640,455
-1 -400,640,455

Now, we try dividing 400,640,455 by 3:

400,640,455 ÷ 3 = 133,546,818.3333

If the quotient is a whole number, then 3 and 133,546,818.3333 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:

1 400,640,455
-1 -400,640,455

Let's try dividing by 4:

400,640,455 ÷ 4 = 100,160,113.75

If the quotient is a whole number, then 4 and 100,160,113.75 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:

1 400,640,455
-1 400,640,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15472354492,2453,79718,98521,103105,515178,459892,2951,704,8538,524,26580,128,091400,640,455
-1-5-47-235-449-2,245-3,797-18,985-21,103-105,515-178,459-892,295-1,704,853-8,524,265-80,128,091-400,640,455

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