Q: What are the factor combinations of the number 15,004,405?

 A:
Positive:   1 x 150044055 x 300088113 x 115418565 x 230837359 x 41795643 x 233351795 x 83593215 x 4667
Negative: -1 x -15004405-5 x -3000881-13 x -1154185-65 x -230837-359 x -41795-643 x -23335-1795 x -8359-3215 x -4667


How do I find the factor combinations of the number 15,004,405?

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 15,004,405, 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 15,004,405
-1 -15,004,405

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 15,004,405.

Example:
1 x 15,004,405 = 15,004,405
and
-1 x -15,004,405 = 15,004,405
Notice both answers equal 15,004,405

With that explanation out of the way, let's continue. Next, we take the number 15,004,405 and divide it by 2:

15,004,405 ÷ 2 = 7,502,202.5

If the quotient is a whole number, then 2 and 7,502,202.5 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 15,004,405
-1 -15,004,405

Now, we try dividing 15,004,405 by 3:

15,004,405 ÷ 3 = 5,001,468.3333

If the quotient is a whole number, then 3 and 5,001,468.3333 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 15,004,405
-1 -15,004,405

Let's try dividing by 4:

15,004,405 ÷ 4 = 3,751,101.25

If the quotient is a whole number, then 4 and 3,751,101.25 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 15,004,405
-1 15,004,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653596431,7953,2154,6678,35923,33541,795230,8371,154,1853,000,88115,004,405
-1-5-13-65-359-643-1,795-3,215-4,667-8,359-23,335-41,795-230,837-1,154,185-3,000,881-15,004,405

More Examples

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