Q: What are the factor combinations of the number 106,616,425?

 A:
Positive:   1 x 1066164255 x 2132328525 x 426465737 x 288152579 x 1349575185 x 576305395 x 269915925 x 1152611459 x 730751975 x 539832923 x 364757295 x 14615
Negative: -1 x -106616425-5 x -21323285-25 x -4264657-37 x -2881525-79 x -1349575-185 x -576305-395 x -269915-925 x -115261-1459 x -73075-1975 x -53983-2923 x -36475-7295 x -14615


How do I find the factor combinations of the number 106,616,425?

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 106,616,425, 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.

1 106,616,425
-1 -106,616,425

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 106,616,425.

Example:
1 x 106,616,425 = 106,616,425
and
-1 x -106,616,425 = 106,616,425
Notice both answers equal 106,616,425

With that explanation out of the way, let's continue. Next, we take the number 106,616,425 and divide it by 2:

106,616,425 ÷ 2 = 53,308,212.5

If the quotient is a whole number, then 2 and 53,308,212.5 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:

1 106,616,425
-1 -106,616,425

Now, we try dividing 106,616,425 by 3:

106,616,425 ÷ 3 = 35,538,808.3333

If the quotient is a whole number, then 3 and 35,538,808.3333 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:

1 106,616,425
-1 -106,616,425

Let's try dividing by 4:

106,616,425 ÷ 4 = 26,654,106.25

If the quotient is a whole number, then 4 and 26,654,106.25 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:

1 106,616,425
-1 106,616,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152537791853959251,4591,9752,9237,29514,61536,47553,98373,075115,261269,915576,3051,349,5752,881,5254,264,65721,323,285106,616,425
-1-5-25-37-79-185-395-925-1,459-1,975-2,923-7,295-14,615-36,475-53,983-73,075-115,261-269,915-576,305-1,349,575-2,881,525-4,264,657-21,323,285-106,616,425

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