Q: What are the factor combinations of the number 5,438,807?

 A:
Positive:   1 x 543880711 x 49443719 x 28625353 x 102619209 x 26023491 x 11077583 x 93291007 x 5401
Negative: -1 x -5438807-11 x -494437-19 x -286253-53 x -102619-209 x -26023-491 x -11077-583 x -9329-1007 x -5401


How do I find the factor combinations of the number 5,438,807?

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 5,438,807, 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 5,438,807
-1 -5,438,807

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 5,438,807.

Example:
1 x 5,438,807 = 5,438,807
and
-1 x -5,438,807 = 5,438,807
Notice both answers equal 5,438,807

With that explanation out of the way, let's continue. Next, we take the number 5,438,807 and divide it by 2:

5,438,807 ÷ 2 = 2,719,403.5

If the quotient is a whole number, then 2 and 2,719,403.5 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 5,438,807
-1 -5,438,807

Now, we try dividing 5,438,807 by 3:

5,438,807 ÷ 3 = 1,812,935.6667

If the quotient is a whole number, then 3 and 1,812,935.6667 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 5,438,807
-1 -5,438,807

Let's try dividing by 4:

5,438,807 ÷ 4 = 1,359,701.75

If the quotient is a whole number, then 4 and 1,359,701.75 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 5,438,807
-1 5,438,807
Keep dividing by the next highest number until you cannot divide anymore.

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

11119532094915831,0075,4019,32911,07726,023102,619286,253494,4375,438,807
-1-11-19-53-209-491-583-1,007-5,401-9,329-11,077-26,023-102,619-286,253-494,437-5,438,807

More Examples

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