Q: What are the factor combinations of the number 40,977,469?

 A:
Positive:   1 x 4097746913 x 315211389 x 460421107 x 382967331 x 1237991157 x 354171391 x 294594303 x 9523
Negative: -1 x -40977469-13 x -3152113-89 x -460421-107 x -382967-331 x -123799-1157 x -35417-1391 x -29459-4303 x -9523


How do I find the factor combinations of the number 40,977,469?

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 40,977,469, 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 40,977,469
-1 -40,977,469

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 40,977,469.

Example:
1 x 40,977,469 = 40,977,469
and
-1 x -40,977,469 = 40,977,469
Notice both answers equal 40,977,469

With that explanation out of the way, let's continue. Next, we take the number 40,977,469 and divide it by 2:

40,977,469 ÷ 2 = 20,488,734.5

If the quotient is a whole number, then 2 and 20,488,734.5 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 40,977,469
-1 -40,977,469

Now, we try dividing 40,977,469 by 3:

40,977,469 ÷ 3 = 13,659,156.3333

If the quotient is a whole number, then 3 and 13,659,156.3333 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 40,977,469
-1 -40,977,469

Let's try dividing by 4:

40,977,469 ÷ 4 = 10,244,367.25

If the quotient is a whole number, then 4 and 10,244,367.25 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 40,977,469
-1 40,977,469
Keep dividing by the next highest number until you cannot divide anymore.

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

113891073311,1571,3914,3039,52329,45935,417123,799382,967460,4213,152,11340,977,469
-1-13-89-107-331-1,157-1,391-4,303-9,523-29,459-35,417-123,799-382,967-460,421-3,152,113-40,977,469

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