Q: What are the factor combinations of the number 40,442,825?

 A:
Positive:   1 x 404428255 x 808856525 x 1617713263 x 1537751315 x 307556151 x 6575
Negative: -1 x -40442825-5 x -8088565-25 x -1617713-263 x -153775-1315 x -30755-6151 x -6575


How do I find the factor combinations of the number 40,442,825?

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 40,442,825, 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 40,442,825
-1 -40,442,825

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 40,442,825.

Example:
1 x 40,442,825 = 40,442,825
and
-1 x -40,442,825 = 40,442,825
Notice both answers equal 40,442,825

With that explanation out of the way, let's continue. Next, we take the number 40,442,825 and divide it by 2:

40,442,825 ÷ 2 = 20,221,412.5

If the quotient is a whole number, then 2 and 20,221,412.5 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 40,442,825
-1 -40,442,825

Now, we try dividing 40,442,825 by 3:

40,442,825 ÷ 3 = 13,480,941.6667

If the quotient is a whole number, then 3 and 13,480,941.6667 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 40,442,825
-1 -40,442,825

Let's try dividing by 4:

40,442,825 ÷ 4 = 10,110,706.25

If the quotient is a whole number, then 4 and 10,110,706.25 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 40,442,825
-1 40,442,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15252631,3156,1516,57530,755153,7751,617,7138,088,56540,442,825
-1-5-25-263-1,315-6,151-6,575-30,755-153,775-1,617,713-8,088,565-40,442,825

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