Q: What are the factor combinations of the number 7,026,185?

 A:
Positive:   1 x 70261855 x 140523717 x 41330585 x 82661131 x 53635631 x 11135655 x 107272227 x 3155
Negative: -1 x -7026185-5 x -1405237-17 x -413305-85 x -82661-131 x -53635-631 x -11135-655 x -10727-2227 x -3155


How do I find the factor combinations of the number 7,026,185?

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 7,026,185, 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 7,026,185
-1 -7,026,185

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 7,026,185.

Example:
1 x 7,026,185 = 7,026,185
and
-1 x -7,026,185 = 7,026,185
Notice both answers equal 7,026,185

With that explanation out of the way, let's continue. Next, we take the number 7,026,185 and divide it by 2:

7,026,185 ÷ 2 = 3,513,092.5

If the quotient is a whole number, then 2 and 3,513,092.5 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 7,026,185
-1 -7,026,185

Now, we try dividing 7,026,185 by 3:

7,026,185 ÷ 3 = 2,342,061.6667

If the quotient is a whole number, then 3 and 2,342,061.6667 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 7,026,185
-1 -7,026,185

Let's try dividing by 4:

7,026,185 ÷ 4 = 1,756,546.25

If the quotient is a whole number, then 4 and 1,756,546.25 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 7,026,185
-1 7,026,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851316316552,2273,15510,72711,13553,63582,661413,3051,405,2377,026,185
-1-5-17-85-131-631-655-2,227-3,155-10,727-11,135-53,635-82,661-413,305-1,405,237-7,026,185

More Examples

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