Q: What are the factor combinations of the number 106,445,425?

 A:
Positive:   1 x 1064454255 x 2128908525 x 425781743 x 247547583 x 1282475215 x 495095415 x 2564951075 x 990191193 x 892252075 x 512993569 x 298255965 x 17845
Negative: -1 x -106445425-5 x -21289085-25 x -4257817-43 x -2475475-83 x -1282475-215 x -495095-415 x -256495-1075 x -99019-1193 x -89225-2075 x -51299-3569 x -29825-5965 x -17845


How do I find the factor combinations of the number 106,445,425?

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 106,445,425, 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.

1 106,445,425
-1 -106,445,425

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 106,445,425.

Example:
1 x 106,445,425 = 106,445,425
and
-1 x -106,445,425 = 106,445,425
Notice both answers equal 106,445,425

With that explanation out of the way, let's continue. Next, we take the number 106,445,425 and divide it by 2:

106,445,425 ÷ 2 = 53,222,712.5

If the quotient is a whole number, then 2 and 53,222,712.5 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:

1 106,445,425
-1 -106,445,425

Now, we try dividing 106,445,425 by 3:

106,445,425 ÷ 3 = 35,481,808.3333

If the quotient is a whole number, then 3 and 35,481,808.3333 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:

1 106,445,425
-1 -106,445,425

Let's try dividing by 4:

106,445,425 ÷ 4 = 26,611,356.25

If the quotient is a whole number, then 4 and 26,611,356.25 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:

1 106,445,425
-1 106,445,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152543832154151,0751,1932,0753,5695,96517,84529,82551,29989,22599,019256,495495,0951,282,4752,475,4754,257,81721,289,085106,445,425
-1-5-25-43-83-215-415-1,075-1,193-2,075-3,569-5,965-17,845-29,825-51,299-89,225-99,019-256,495-495,095-1,282,475-2,475,475-4,257,817-21,289,085-106,445,425

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