Q: What are the factor combinations of the number 13,450,325?

 A:
Positive:   1 x 134503255 x 26900657 x 192147525 x 53801335 x 384295151 x 89075175 x 76859509 x 26425755 x 178151057 x 127252545 x 52853563 x 3775
Negative: -1 x -13450325-5 x -2690065-7 x -1921475-25 x -538013-35 x -384295-151 x -89075-175 x -76859-509 x -26425-755 x -17815-1057 x -12725-2545 x -5285-3563 x -3775


How do I find the factor combinations of the number 13,450,325?

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 13,450,325, 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 13,450,325
-1 -13,450,325

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 13,450,325.

Example:
1 x 13,450,325 = 13,450,325
and
-1 x -13,450,325 = 13,450,325
Notice both answers equal 13,450,325

With that explanation out of the way, let's continue. Next, we take the number 13,450,325 and divide it by 2:

13,450,325 ÷ 2 = 6,725,162.5

If the quotient is a whole number, then 2 and 6,725,162.5 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 13,450,325
-1 -13,450,325

Now, we try dividing 13,450,325 by 3:

13,450,325 ÷ 3 = 4,483,441.6667

If the quotient is a whole number, then 3 and 4,483,441.6667 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 13,450,325
-1 -13,450,325

Let's try dividing by 4:

13,450,325 ÷ 4 = 3,362,581.25

If the quotient is a whole number, then 4 and 3,362,581.25 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 13,450,325
-1 13,450,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351511755097551,0572,5453,5633,7755,28512,72517,81526,42576,85989,075384,295538,0131,921,4752,690,06513,450,325
-1-5-7-25-35-151-175-509-755-1,057-2,545-3,563-3,775-5,285-12,725-17,815-26,425-76,859-89,075-384,295-538,013-1,921,475-2,690,065-13,450,325

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