Q: What are the factor combinations of the number 7,144,585?

 A:
Positive:   1 x 71445855 x 14289177 x 102065529 x 24636535 x 204131145 x 49273203 x 351951015 x 7039
Negative: -1 x -7144585-5 x -1428917-7 x -1020655-29 x -246365-35 x -204131-145 x -49273-203 x -35195-1015 x -7039


How do I find the factor combinations of the number 7,144,585?

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 7,144,585, 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 7,144,585
-1 -7,144,585

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 7,144,585.

Example:
1 x 7,144,585 = 7,144,585
and
-1 x -7,144,585 = 7,144,585
Notice both answers equal 7,144,585

With that explanation out of the way, let's continue. Next, we take the number 7,144,585 and divide it by 2:

7,144,585 ÷ 2 = 3,572,292.5

If the quotient is a whole number, then 2 and 3,572,292.5 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 7,144,585
-1 -7,144,585

Now, we try dividing 7,144,585 by 3:

7,144,585 ÷ 3 = 2,381,528.3333

If the quotient is a whole number, then 3 and 2,381,528.3333 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 7,144,585
-1 -7,144,585

Let's try dividing by 4:

7,144,585 ÷ 4 = 1,786,146.25

If the quotient is a whole number, then 4 and 1,786,146.25 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 7,144,585
-1 7,144,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,0157,03935,19549,273204,131246,3651,020,6551,428,9177,144,585
-1-5-7-29-35-145-203-1,015-7,039-35,195-49,273-204,131-246,365-1,020,655-1,428,917-7,144,585

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