Q: What are the factor combinations of the number 122,520,445?

 A:
Positive:   1 x 1225204455 x 2450408917 x 720708585 x 1441417157 x 780385785 x 1560772669 x 459059181 x 13345
Negative: -1 x -122520445-5 x -24504089-17 x -7207085-85 x -1441417-157 x -780385-785 x -156077-2669 x -45905-9181 x -13345


How do I find the factor combinations of the number 122,520,445?

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 122,520,445, 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.

1 122,520,445
-1 -122,520,445

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 122,520,445.

Example:
1 x 122,520,445 = 122,520,445
and
-1 x -122,520,445 = 122,520,445
Notice both answers equal 122,520,445

With that explanation out of the way, let's continue. Next, we take the number 122,520,445 and divide it by 2:

122,520,445 ÷ 2 = 61,260,222.5

If the quotient is a whole number, then 2 and 61,260,222.5 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:

1 122,520,445
-1 -122,520,445

Now, we try dividing 122,520,445 by 3:

122,520,445 ÷ 3 = 40,840,148.3333

If the quotient is a whole number, then 3 and 40,840,148.3333 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:

1 122,520,445
-1 -122,520,445

Let's try dividing by 4:

122,520,445 ÷ 4 = 30,630,111.25

If the quotient is a whole number, then 4 and 30,630,111.25 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:

1 122,520,445
-1 122,520,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851577852,6699,18113,34545,905156,077780,3851,441,4177,207,08524,504,089122,520,445
-1-5-17-85-157-785-2,669-9,181-13,345-45,905-156,077-780,385-1,441,417-7,207,085-24,504,089-122,520,445

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