Q: What are the factor combinations of the number 8,136,733?

 A:
Positive:   1 x 813673311 x 73970323 x 35377129 x 280577253 x 32161319 x 25507667 x 121991109 x 7337
Negative: -1 x -8136733-11 x -739703-23 x -353771-29 x -280577-253 x -32161-319 x -25507-667 x -12199-1109 x -7337


How do I find the factor combinations of the number 8,136,733?

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 8,136,733, 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 8,136,733
-1 -8,136,733

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 8,136,733.

Example:
1 x 8,136,733 = 8,136,733
and
-1 x -8,136,733 = 8,136,733
Notice both answers equal 8,136,733

With that explanation out of the way, let's continue. Next, we take the number 8,136,733 and divide it by 2:

8,136,733 ÷ 2 = 4,068,366.5

If the quotient is a whole number, then 2 and 4,068,366.5 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 8,136,733
-1 -8,136,733

Now, we try dividing 8,136,733 by 3:

8,136,733 ÷ 3 = 2,712,244.3333

If the quotient is a whole number, then 3 and 2,712,244.3333 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 8,136,733
-1 -8,136,733

Let's try dividing by 4:

8,136,733 ÷ 4 = 2,034,183.25

If the quotient is a whole number, then 4 and 2,034,183.25 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 8,136,733
-1 8,136,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11123292533196671,1097,33712,19925,50732,161280,577353,771739,7038,136,733
-1-11-23-29-253-319-667-1,109-7,337-12,199-25,507-32,161-280,577-353,771-739,703-8,136,733

More Examples

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