Q: What are the factor combinations of the number 8,637,445?

 A:
Positive:   1 x 86374455 x 172748917 x 50808585 x 101617307 x 28135331 x 260951535 x 56271655 x 5219
Negative: -1 x -8637445-5 x -1727489-17 x -508085-85 x -101617-307 x -28135-331 x -26095-1535 x -5627-1655 x -5219


How do I find the factor combinations of the number 8,637,445?

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 8,637,445, 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 8,637,445
-1 -8,637,445

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 8,637,445.

Example:
1 x 8,637,445 = 8,637,445
and
-1 x -8,637,445 = 8,637,445
Notice both answers equal 8,637,445

With that explanation out of the way, let's continue. Next, we take the number 8,637,445 and divide it by 2:

8,637,445 ÷ 2 = 4,318,722.5

If the quotient is a whole number, then 2 and 4,318,722.5 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 8,637,445
-1 -8,637,445

Now, we try dividing 8,637,445 by 3:

8,637,445 ÷ 3 = 2,879,148.3333

If the quotient is a whole number, then 3 and 2,879,148.3333 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 8,637,445
-1 -8,637,445

Let's try dividing by 4:

8,637,445 ÷ 4 = 2,159,361.25

If the quotient is a whole number, then 4 and 2,159,361.25 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 8,637,445
-1 8,637,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853073311,5351,6555,2195,62726,09528,135101,617508,0851,727,4898,637,445
-1-5-17-85-307-331-1,535-1,655-5,219-5,627-26,095-28,135-101,617-508,085-1,727,489-8,637,445

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