Q: What are the factor combinations of the number 13,431,055?

 A:
Positive:   1 x 134310555 x 268621111 x 122100555 x 24420159 x 227645295 x 45529649 x 206953245 x 4139
Negative: -1 x -13431055-5 x -2686211-11 x -1221005-55 x -244201-59 x -227645-295 x -45529-649 x -20695-3245 x -4139


How do I find the factor combinations of the number 13,431,055?

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 13,431,055, 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 13,431,055
-1 -13,431,055

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 13,431,055.

Example:
1 x 13,431,055 = 13,431,055
and
-1 x -13,431,055 = 13,431,055
Notice both answers equal 13,431,055

With that explanation out of the way, let's continue. Next, we take the number 13,431,055 and divide it by 2:

13,431,055 ÷ 2 = 6,715,527.5

If the quotient is a whole number, then 2 and 6,715,527.5 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 13,431,055
-1 -13,431,055

Now, we try dividing 13,431,055 by 3:

13,431,055 ÷ 3 = 4,477,018.3333

If the quotient is a whole number, then 3 and 4,477,018.3333 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 13,431,055
-1 -13,431,055

Let's try dividing by 4:

13,431,055 ÷ 4 = 3,357,763.75

If the quotient is a whole number, then 4 and 3,357,763.75 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 13,431,055
-1 13,431,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151155592956493,2454,13920,69545,529227,645244,2011,221,0052,686,21113,431,055
-1-5-11-55-59-295-649-3,245-4,139-20,695-45,529-227,645-244,201-1,221,005-2,686,211-13,431,055

More Examples

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