Q: What are the factor combinations of the number 40,789,651?

 A:
Positive:   1 x 407896517 x 582709337 x 1102423259 x 157489
Negative: -1 x -40789651-7 x -5827093-37 x -1102423-259 x -157489


How do I find the factor combinations of the number 40,789,651?

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 40,789,651, 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 40,789,651
-1 -40,789,651

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 40,789,651.

Example:
1 x 40,789,651 = 40,789,651
and
-1 x -40,789,651 = 40,789,651
Notice both answers equal 40,789,651

With that explanation out of the way, let's continue. Next, we take the number 40,789,651 and divide it by 2:

40,789,651 ÷ 2 = 20,394,825.5

If the quotient is a whole number, then 2 and 20,394,825.5 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 40,789,651
-1 -40,789,651

Now, we try dividing 40,789,651 by 3:

40,789,651 ÷ 3 = 13,596,550.3333

If the quotient is a whole number, then 3 and 13,596,550.3333 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 40,789,651
-1 -40,789,651

Let's try dividing by 4:

40,789,651 ÷ 4 = 10,197,412.75

If the quotient is a whole number, then 4 and 10,197,412.75 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 40,789,651
-1 40,789,651
Keep dividing by the next highest number until you cannot divide anymore.

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

1737259157,4891,102,4235,827,09340,789,651
-1-7-37-259-157,489-1,102,423-5,827,093-40,789,651

More Examples

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