Q: What are the factor combinations of the number 102,000,425?

 A:
Positive:   1 x 1020004255 x 2040008517 x 600002525 x 408001785 x 1200005107 x 953275425 x 240001535 x 1906551819 x 560752243 x 454752675 x 381319095 x 11215
Negative: -1 x -102000425-5 x -20400085-17 x -6000025-25 x -4080017-85 x -1200005-107 x -953275-425 x -240001-535 x -190655-1819 x -56075-2243 x -45475-2675 x -38131-9095 x -11215


How do I find the factor combinations of the number 102,000,425?

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 102,000,425, 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.

1 102,000,425
-1 -102,000,425

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 102,000,425.

Example:
1 x 102,000,425 = 102,000,425
and
-1 x -102,000,425 = 102,000,425
Notice both answers equal 102,000,425

With that explanation out of the way, let's continue. Next, we take the number 102,000,425 and divide it by 2:

102,000,425 ÷ 2 = 51,000,212.5

If the quotient is a whole number, then 2 and 51,000,212.5 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:

1 102,000,425
-1 -102,000,425

Now, we try dividing 102,000,425 by 3:

102,000,425 ÷ 3 = 34,000,141.6667

If the quotient is a whole number, then 3 and 34,000,141.6667 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:

1 102,000,425
-1 -102,000,425

Let's try dividing by 4:

102,000,425 ÷ 4 = 25,500,106.25

If the quotient is a whole number, then 4 and 25,500,106.25 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:

1 102,000,425
-1 102,000,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851074255351,8192,2432,6759,09511,21538,13145,47556,075190,655240,001953,2751,200,0054,080,0176,000,02520,400,085102,000,425
-1-5-17-25-85-107-425-535-1,819-2,243-2,675-9,095-11,215-38,131-45,475-56,075-190,655-240,001-953,275-1,200,005-4,080,017-6,000,025-20,400,085-102,000,425

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