Q: What are the factor combinations of the number 6,232,525?

 A:
Positive:   1 x 62325255 x 124650513 x 47942525 x 24930165 x 95885127 x 49075151 x 41275325 x 19177635 x 9815755 x 82551651 x 37751963 x 3175
Negative: -1 x -6232525-5 x -1246505-13 x -479425-25 x -249301-65 x -95885-127 x -49075-151 x -41275-325 x -19177-635 x -9815-755 x -8255-1651 x -3775-1963 x -3175


How do I find the factor combinations of the number 6,232,525?

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 6,232,525, 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 6,232,525
-1 -6,232,525

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 6,232,525.

Example:
1 x 6,232,525 = 6,232,525
and
-1 x -6,232,525 = 6,232,525
Notice both answers equal 6,232,525

With that explanation out of the way, let's continue. Next, we take the number 6,232,525 and divide it by 2:

6,232,525 ÷ 2 = 3,116,262.5

If the quotient is a whole number, then 2 and 3,116,262.5 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 6,232,525
-1 -6,232,525

Now, we try dividing 6,232,525 by 3:

6,232,525 ÷ 3 = 2,077,508.3333

If the quotient is a whole number, then 3 and 2,077,508.3333 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 6,232,525
-1 -6,232,525

Let's try dividing by 4:

6,232,525 ÷ 4 = 1,558,131.25

If the quotient is a whole number, then 4 and 1,558,131.25 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 6,232,525
-1 6,232,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651271513256357551,6511,9633,1753,7758,2559,81519,17741,27549,07595,885249,301479,4251,246,5056,232,525
-1-5-13-25-65-127-151-325-635-755-1,651-1,963-3,175-3,775-8,255-9,815-19,177-41,275-49,075-95,885-249,301-479,425-1,246,505-6,232,525

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