Q: What are the factor combinations of the number 40,585,391?

 A:
Positive:   1 x 405853917 x 579791311 x 368958177 x 527083193 x 2102871351 x 300412123 x 191172731 x 14861
Negative: -1 x -40585391-7 x -5797913-11 x -3689581-77 x -527083-193 x -210287-1351 x -30041-2123 x -19117-2731 x -14861


How do I find the factor combinations of the number 40,585,391?

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 40,585,391, 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 40,585,391
-1 -40,585,391

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 40,585,391.

Example:
1 x 40,585,391 = 40,585,391
and
-1 x -40,585,391 = 40,585,391
Notice both answers equal 40,585,391

With that explanation out of the way, let's continue. Next, we take the number 40,585,391 and divide it by 2:

40,585,391 ÷ 2 = 20,292,695.5

If the quotient is a whole number, then 2 and 20,292,695.5 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 40,585,391
-1 -40,585,391

Now, we try dividing 40,585,391 by 3:

40,585,391 ÷ 3 = 13,528,463.6667

If the quotient is a whole number, then 3 and 13,528,463.6667 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 40,585,391
-1 -40,585,391

Let's try dividing by 4:

40,585,391 ÷ 4 = 10,146,347.75

If the quotient is a whole number, then 4 and 10,146,347.75 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 40,585,391
-1 40,585,391
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771931,3512,1232,73114,86119,11730,041210,287527,0833,689,5815,797,91340,585,391
-1-7-11-77-193-1,351-2,123-2,731-14,861-19,117-30,041-210,287-527,083-3,689,581-5,797,913-40,585,391

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