Q: What are the factor combinations of the number 12,553,445?

 A:
Positive:   1 x 125534455 x 251068973 x 171965163 x 77015211 x 59495365 x 34393815 x 154031055 x 11899
Negative: -1 x -12553445-5 x -2510689-73 x -171965-163 x -77015-211 x -59495-365 x -34393-815 x -15403-1055 x -11899


How do I find the factor combinations of the number 12,553,445?

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 12,553,445, 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 12,553,445
-1 -12,553,445

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 12,553,445.

Example:
1 x 12,553,445 = 12,553,445
and
-1 x -12,553,445 = 12,553,445
Notice both answers equal 12,553,445

With that explanation out of the way, let's continue. Next, we take the number 12,553,445 and divide it by 2:

12,553,445 ÷ 2 = 6,276,722.5

If the quotient is a whole number, then 2 and 6,276,722.5 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 12,553,445
-1 -12,553,445

Now, we try dividing 12,553,445 by 3:

12,553,445 ÷ 3 = 4,184,481.6667

If the quotient is a whole number, then 3 and 4,184,481.6667 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 12,553,445
-1 -12,553,445

Let's try dividing by 4:

12,553,445 ÷ 4 = 3,138,361.25

If the quotient is a whole number, then 4 and 3,138,361.25 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 12,553,445
-1 12,553,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15731632113658151,05511,89915,40334,39359,49577,015171,9652,510,68912,553,445
-1-5-73-163-211-365-815-1,055-11,899-15,403-34,393-59,495-77,015-171,965-2,510,689-12,553,445

More Examples

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