Q: What are the factor combinations of the number 13,671,485?

 A:
Positive:   1 x 136714855 x 273429717 x 80420585 x 160841
Negative: -1 x -13671485-5 x -2734297-17 x -804205-85 x -160841


How do I find the factor combinations of the number 13,671,485?

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 13,671,485, 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 13,671,485
-1 -13,671,485

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 13,671,485.

Example:
1 x 13,671,485 = 13,671,485
and
-1 x -13,671,485 = 13,671,485
Notice both answers equal 13,671,485

With that explanation out of the way, let's continue. Next, we take the number 13,671,485 and divide it by 2:

13,671,485 ÷ 2 = 6,835,742.5

If the quotient is a whole number, then 2 and 6,835,742.5 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 13,671,485
-1 -13,671,485

Now, we try dividing 13,671,485 by 3:

13,671,485 ÷ 3 = 4,557,161.6667

If the quotient is a whole number, then 3 and 4,557,161.6667 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 13,671,485
-1 -13,671,485

Let's try dividing by 4:

13,671,485 ÷ 4 = 3,417,871.25

If the quotient is a whole number, then 4 and 3,417,871.25 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 13,671,485
-1 13,671,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151785160,841804,2052,734,29713,671,485
-1-5-17-85-160,841-804,205-2,734,297-13,671,485

More Examples

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