Q: What are the factor combinations of the number 13,352,155?

 A:
Positive:   1 x 133521555 x 267043119 x 70274595 x 140549
Negative: -1 x -13352155-5 x -2670431-19 x -702745-95 x -140549


How do I find the factor combinations of the number 13,352,155?

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 13,352,155, 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 13,352,155
-1 -13,352,155

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 13,352,155.

Example:
1 x 13,352,155 = 13,352,155
and
-1 x -13,352,155 = 13,352,155
Notice both answers equal 13,352,155

With that explanation out of the way, let's continue. Next, we take the number 13,352,155 and divide it by 2:

13,352,155 ÷ 2 = 6,676,077.5

If the quotient is a whole number, then 2 and 6,676,077.5 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 13,352,155
-1 -13,352,155

Now, we try dividing 13,352,155 by 3:

13,352,155 ÷ 3 = 4,450,718.3333

If the quotient is a whole number, then 3 and 4,450,718.3333 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 13,352,155
-1 -13,352,155

Let's try dividing by 4:

13,352,155 ÷ 4 = 3,338,038.75

If the quotient is a whole number, then 4 and 3,338,038.75 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 13,352,155
-1 13,352,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151995140,549702,7452,670,43113,352,155
-1-5-19-95-140,549-702,745-2,670,431-13,352,155

More Examples

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