Q: What are the factor combinations of the number 4,000,843?

 A:
Positive:   1 x 40008437 x 57154911 x 36371377 x 51959223 x 17941233 x 171711561 x 25631631 x 2453
Negative: -1 x -4000843-7 x -571549-11 x -363713-77 x -51959-223 x -17941-233 x -17171-1561 x -2563-1631 x -2453


How do I find the factor combinations of the number 4,000,843?

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 4,000,843, 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 4,000,843
-1 -4,000,843

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 4,000,843.

Example:
1 x 4,000,843 = 4,000,843
and
-1 x -4,000,843 = 4,000,843
Notice both answers equal 4,000,843

With that explanation out of the way, let's continue. Next, we take the number 4,000,843 and divide it by 2:

4,000,843 ÷ 2 = 2,000,421.5

If the quotient is a whole number, then 2 and 2,000,421.5 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 4,000,843
-1 -4,000,843

Now, we try dividing 4,000,843 by 3:

4,000,843 ÷ 3 = 1,333,614.3333

If the quotient is a whole number, then 3 and 1,333,614.3333 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 4,000,843
-1 -4,000,843

Let's try dividing by 4:

4,000,843 ÷ 4 = 1,000,210.75

If the quotient is a whole number, then 4 and 1,000,210.75 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 4,000,843
-1 4,000,843
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772232331,5611,6312,4532,56317,17117,94151,959363,713571,5494,000,843
-1-7-11-77-223-233-1,561-1,631-2,453-2,563-17,171-17,941-51,959-363,713-571,549-4,000,843

More Examples

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