Q: What are the factor combinations of the number 8,724,023?

 A:
Positive:   1 x 87240237 x 124628911 x 79309377 x 113299137 x 63679827 x 10549959 x 90971507 x 5789
Negative: -1 x -8724023-7 x -1246289-11 x -793093-77 x -113299-137 x -63679-827 x -10549-959 x -9097-1507 x -5789


How do I find the factor combinations of the number 8,724,023?

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 8,724,023, 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 8,724,023
-1 -8,724,023

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 8,724,023.

Example:
1 x 8,724,023 = 8,724,023
and
-1 x -8,724,023 = 8,724,023
Notice both answers equal 8,724,023

With that explanation out of the way, let's continue. Next, we take the number 8,724,023 and divide it by 2:

8,724,023 ÷ 2 = 4,362,011.5

If the quotient is a whole number, then 2 and 4,362,011.5 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 8,724,023
-1 -8,724,023

Now, we try dividing 8,724,023 by 3:

8,724,023 ÷ 3 = 2,908,007.6667

If the quotient is a whole number, then 3 and 2,908,007.6667 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 8,724,023
-1 -8,724,023

Let's try dividing by 4:

8,724,023 ÷ 4 = 2,181,005.75

If the quotient is a whole number, then 4 and 2,181,005.75 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 8,724,023
-1 8,724,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771378279591,5075,7899,09710,54963,679113,299793,0931,246,2898,724,023
-1-7-11-77-137-827-959-1,507-5,789-9,097-10,549-63,679-113,299-793,093-1,246,289-8,724,023

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