Q: What are the factor combinations of the number 7,086,425?

 A:
Positive:   1 x 70864255 x 141728525 x 28345737 x 19152547 x 150775163 x 43475185 x 38305235 x 30155815 x 8695925 x 76611175 x 60311739 x 4075
Negative: -1 x -7086425-5 x -1417285-25 x -283457-37 x -191525-47 x -150775-163 x -43475-185 x -38305-235 x -30155-815 x -8695-925 x -7661-1175 x -6031-1739 x -4075


How do I find the factor combinations of the number 7,086,425?

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 7,086,425, 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 7,086,425
-1 -7,086,425

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 7,086,425.

Example:
1 x 7,086,425 = 7,086,425
and
-1 x -7,086,425 = 7,086,425
Notice both answers equal 7,086,425

With that explanation out of the way, let's continue. Next, we take the number 7,086,425 and divide it by 2:

7,086,425 ÷ 2 = 3,543,212.5

If the quotient is a whole number, then 2 and 3,543,212.5 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 7,086,425
-1 -7,086,425

Now, we try dividing 7,086,425 by 3:

7,086,425 ÷ 3 = 2,362,141.6667

If the quotient is a whole number, then 3 and 2,362,141.6667 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 7,086,425
-1 -7,086,425

Let's try dividing by 4:

7,086,425 ÷ 4 = 1,771,606.25

If the quotient is a whole number, then 4 and 1,771,606.25 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 7,086,425
-1 7,086,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152537471631852358159251,1751,7394,0756,0317,6618,69530,15538,30543,475150,775191,525283,4571,417,2857,086,425
-1-5-25-37-47-163-185-235-815-925-1,175-1,739-4,075-6,031-7,661-8,695-30,155-38,305-43,475-150,775-191,525-283,457-1,417,285-7,086,425

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