Q: What are the factor combinations of the number 400,014,313?

 A:
Positive:   1 x 40001431329 x 13793597127 x 3149719313 x 1278001347 x 11527793683 x 1086119077 x 4406910063 x 39751
Negative: -1 x -400014313-29 x -13793597-127 x -3149719-313 x -1278001-347 x -1152779-3683 x -108611-9077 x -44069-10063 x -39751


How do I find the factor combinations of the number 400,014,313?

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 400,014,313, 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.

1 400,014,313
-1 -400,014,313

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 400,014,313.

Example:
1 x 400,014,313 = 400,014,313
and
-1 x -400,014,313 = 400,014,313
Notice both answers equal 400,014,313

With that explanation out of the way, let's continue. Next, we take the number 400,014,313 and divide it by 2:

400,014,313 ÷ 2 = 200,007,156.5

If the quotient is a whole number, then 2 and 200,007,156.5 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:

1 400,014,313
-1 -400,014,313

Now, we try dividing 400,014,313 by 3:

400,014,313 ÷ 3 = 133,338,104.3333

If the quotient is a whole number, then 3 and 133,338,104.3333 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:

1 400,014,313
-1 -400,014,313

Let's try dividing by 4:

400,014,313 ÷ 4 = 100,003,578.25

If the quotient is a whole number, then 4 and 100,003,578.25 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:

1 400,014,313
-1 400,014,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1291273133473,6839,07710,06339,75144,069108,6111,152,7791,278,0013,149,71913,793,597400,014,313
-1-29-127-313-347-3,683-9,077-10,063-39,751-44,069-108,611-1,152,779-1,278,001-3,149,719-13,793,597-400,014,313

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