Q: What are the factor combinations of the number 8,743,525?

 A:
Positive:   1 x 87435255 x 17487057 x 124907517 x 51432525 x 34974135 x 24981585 x 102865119 x 73475175 x 49963425 x 20573595 x 146952939 x 2975
Negative: -1 x -8743525-5 x -1748705-7 x -1249075-17 x -514325-25 x -349741-35 x -249815-85 x -102865-119 x -73475-175 x -49963-425 x -20573-595 x -14695-2939 x -2975


How do I find the factor combinations of the number 8,743,525?

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 8,743,525, 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 8,743,525
-1 -8,743,525

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 8,743,525.

Example:
1 x 8,743,525 = 8,743,525
and
-1 x -8,743,525 = 8,743,525
Notice both answers equal 8,743,525

With that explanation out of the way, let's continue. Next, we take the number 8,743,525 and divide it by 2:

8,743,525 ÷ 2 = 4,371,762.5

If the quotient is a whole number, then 2 and 4,371,762.5 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 8,743,525
-1 -8,743,525

Now, we try dividing 8,743,525 by 3:

8,743,525 ÷ 3 = 2,914,508.3333

If the quotient is a whole number, then 3 and 2,914,508.3333 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 8,743,525
-1 -8,743,525

Let's try dividing by 4:

8,743,525 ÷ 4 = 2,185,881.25

If the quotient is a whole number, then 4 and 2,185,881.25 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 8,743,525
-1 8,743,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,9392,97514,69520,57349,96373,475102,865249,815349,741514,3251,249,0751,748,7058,743,525
-1-5-7-17-25-35-85-119-175-425-595-2,939-2,975-14,695-20,573-49,963-73,475-102,865-249,815-349,741-514,325-1,249,075-1,748,705-8,743,525

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