Q: What are the factor combinations of the number 13,003,055?

 A:
Positive:   1 x 130030555 x 260061113 x 100023565 x 200047251 x 51805797 x 163151255 x 103613263 x 3985
Negative: -1 x -13003055-5 x -2600611-13 x -1000235-65 x -200047-251 x -51805-797 x -16315-1255 x -10361-3263 x -3985


How do I find the factor combinations of the number 13,003,055?

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 13,003,055, 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 13,003,055
-1 -13,003,055

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 13,003,055.

Example:
1 x 13,003,055 = 13,003,055
and
-1 x -13,003,055 = 13,003,055
Notice both answers equal 13,003,055

With that explanation out of the way, let's continue. Next, we take the number 13,003,055 and divide it by 2:

13,003,055 ÷ 2 = 6,501,527.5

If the quotient is a whole number, then 2 and 6,501,527.5 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 13,003,055
-1 -13,003,055

Now, we try dividing 13,003,055 by 3:

13,003,055 ÷ 3 = 4,334,351.6667

If the quotient is a whole number, then 3 and 4,334,351.6667 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 13,003,055
-1 -13,003,055

Let's try dividing by 4:

13,003,055 ÷ 4 = 3,250,763.75

If the quotient is a whole number, then 4 and 3,250,763.75 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 13,003,055
-1 13,003,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652517971,2553,2633,98510,36116,31551,805200,0471,000,2352,600,61113,003,055
-1-5-13-65-251-797-1,255-3,263-3,985-10,361-16,315-51,805-200,047-1,000,235-2,600,611-13,003,055

More Examples

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