Q: What are the factor combinations of the number 400,614,515?

 A:
Positive:   1 x 4006145155 x 801229037 x 5723064535 x 11446129127 x 3154445635 x 630889889 x 4506354445 x 90127
Negative: -1 x -400614515-5 x -80122903-7 x -57230645-35 x -11446129-127 x -3154445-635 x -630889-889 x -450635-4445 x -90127


How do I find the factor combinations of the number 400,614,515?

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 400,614,515, 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.

1 400,614,515
-1 -400,614,515

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 400,614,515.

Example:
1 x 400,614,515 = 400,614,515
and
-1 x -400,614,515 = 400,614,515
Notice both answers equal 400,614,515

With that explanation out of the way, let's continue. Next, we take the number 400,614,515 and divide it by 2:

400,614,515 ÷ 2 = 200,307,257.5

If the quotient is a whole number, then 2 and 200,307,257.5 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:

1 400,614,515
-1 -400,614,515

Now, we try dividing 400,614,515 by 3:

400,614,515 ÷ 3 = 133,538,171.6667

If the quotient is a whole number, then 3 and 133,538,171.6667 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:

1 400,614,515
-1 -400,614,515

Let's try dividing by 4:

400,614,515 ÷ 4 = 100,153,628.75

If the quotient is a whole number, then 4 and 100,153,628.75 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:

1 400,614,515
-1 400,614,515
Keep dividing by the next highest number until you cannot divide anymore.

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

157351276358894,44590,127450,635630,8893,154,44511,446,12957,230,64580,122,903400,614,515
-1-5-7-35-127-635-889-4,445-90,127-450,635-630,889-3,154,445-11,446,129-57,230,645-80,122,903-400,614,515

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