Q: What are the factor combinations of the number 462,642,785?

 A:
Positive:   1 x 4626427855 x 9252855711 x 4205843555 x 84116872309 x 2003653643 x 12699511545 x 4007318215 x 25399
Negative: -1 x -462642785-5 x -92528557-11 x -42058435-55 x -8411687-2309 x -200365-3643 x -126995-11545 x -40073-18215 x -25399


How do I find the factor combinations of the number 462,642,785?

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 462,642,785, 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.

1 462,642,785
-1 -462,642,785

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 462,642,785.

Example:
1 x 462,642,785 = 462,642,785
and
-1 x -462,642,785 = 462,642,785
Notice both answers equal 462,642,785

With that explanation out of the way, let's continue. Next, we take the number 462,642,785 and divide it by 2:

462,642,785 ÷ 2 = 231,321,392.5

If the quotient is a whole number, then 2 and 231,321,392.5 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:

1 462,642,785
-1 -462,642,785

Now, we try dividing 462,642,785 by 3:

462,642,785 ÷ 3 = 154,214,261.6667

If the quotient is a whole number, then 3 and 154,214,261.6667 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:

1 462,642,785
-1 -462,642,785

Let's try dividing by 4:

462,642,785 ÷ 4 = 115,660,696.25

If the quotient is a whole number, then 4 and 115,660,696.25 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:

1 462,642,785
-1 462,642,785
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552,3093,64311,54518,21525,39940,073126,995200,3658,411,68742,058,43592,528,557462,642,785
-1-5-11-55-2,309-3,643-11,545-18,215-25,399-40,073-126,995-200,365-8,411,687-42,058,435-92,528,557-462,642,785

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