Q: What are the factor combinations of the number 13,627,355?

 A:
Positive:   1 x 136273555 x 27254717 x 194676535 x 38935383 x 164185415 x 32837581 x 234552905 x 4691
Negative: -1 x -13627355-5 x -2725471-7 x -1946765-35 x -389353-83 x -164185-415 x -32837-581 x -23455-2905 x -4691


How do I find the factor combinations of the number 13,627,355?

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 13,627,355, 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 13,627,355
-1 -13,627,355

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 13,627,355.

Example:
1 x 13,627,355 = 13,627,355
and
-1 x -13,627,355 = 13,627,355
Notice both answers equal 13,627,355

With that explanation out of the way, let's continue. Next, we take the number 13,627,355 and divide it by 2:

13,627,355 ÷ 2 = 6,813,677.5

If the quotient is a whole number, then 2 and 6,813,677.5 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 13,627,355
-1 -13,627,355

Now, we try dividing 13,627,355 by 3:

13,627,355 ÷ 3 = 4,542,451.6667

If the quotient is a whole number, then 3 and 4,542,451.6667 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 13,627,355
-1 -13,627,355

Let's try dividing by 4:

13,627,355 ÷ 4 = 3,406,838.75

If the quotient is a whole number, then 4 and 3,406,838.75 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 13,627,355
-1 13,627,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834155812,9054,69123,45532,837164,185389,3531,946,7652,725,47113,627,355
-1-5-7-35-83-415-581-2,905-4,691-23,455-32,837-164,185-389,353-1,946,765-2,725,471-13,627,355

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