Q: What are the factor combinations of the number 8,140,643?

 A:
Positive:   1 x 81406437 x 116294923 x 35394159 x 137977161 x 50563413 x 19711857 x 94991357 x 5999
Negative: -1 x -8140643-7 x -1162949-23 x -353941-59 x -137977-161 x -50563-413 x -19711-857 x -9499-1357 x -5999


How do I find the factor combinations of the number 8,140,643?

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 8,140,643, 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 8,140,643
-1 -8,140,643

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 8,140,643.

Example:
1 x 8,140,643 = 8,140,643
and
-1 x -8,140,643 = 8,140,643
Notice both answers equal 8,140,643

With that explanation out of the way, let's continue. Next, we take the number 8,140,643 and divide it by 2:

8,140,643 ÷ 2 = 4,070,321.5

If the quotient is a whole number, then 2 and 4,070,321.5 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 8,140,643
-1 -8,140,643

Now, we try dividing 8,140,643 by 3:

8,140,643 ÷ 3 = 2,713,547.6667

If the quotient is a whole number, then 3 and 2,713,547.6667 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 8,140,643
-1 -8,140,643

Let's try dividing by 4:

8,140,643 ÷ 4 = 2,035,160.75

If the quotient is a whole number, then 4 and 2,035,160.75 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 8,140,643
-1 8,140,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591614138571,3575,9999,49919,71150,563137,977353,9411,162,9498,140,643
-1-7-23-59-161-413-857-1,357-5,999-9,499-19,711-50,563-137,977-353,941-1,162,949-8,140,643

More Examples

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