Q: What are the factor combinations of the number 112,428,635?

 A:
Positive:   1 x 1124286355 x 2248572711 x 1022078553 x 212129555 x 2044157265 x 424259583 x 1928452915 x 38569
Negative: -1 x -112428635-5 x -22485727-11 x -10220785-53 x -2121295-55 x -2044157-265 x -424259-583 x -192845-2915 x -38569


How do I find the factor combinations of the number 112,428,635?

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 112,428,635, 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.

1 112,428,635
-1 -112,428,635

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 112,428,635.

Example:
1 x 112,428,635 = 112,428,635
and
-1 x -112,428,635 = 112,428,635
Notice both answers equal 112,428,635

With that explanation out of the way, let's continue. Next, we take the number 112,428,635 and divide it by 2:

112,428,635 ÷ 2 = 56,214,317.5

If the quotient is a whole number, then 2 and 56,214,317.5 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:

1 112,428,635
-1 -112,428,635

Now, we try dividing 112,428,635 by 3:

112,428,635 ÷ 3 = 37,476,211.6667

If the quotient is a whole number, then 3 and 37,476,211.6667 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:

1 112,428,635
-1 -112,428,635

Let's try dividing by 4:

112,428,635 ÷ 4 = 28,107,158.75

If the quotient is a whole number, then 4 and 28,107,158.75 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:

1 112,428,635
-1 112,428,635
Keep dividing by the next highest number until you cannot divide anymore.

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

151153552655832,91538,569192,845424,2592,044,1572,121,29510,220,78522,485,727112,428,635
-1-5-11-53-55-265-583-2,915-38,569-192,845-424,259-2,044,157-2,121,295-10,220,785-22,485,727-112,428,635

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