Q: What are the factor combinations of the number 40,030,315?

 A:
Positive:   1 x 400303155 x 800606313 x 307925565 x 615851227 x 1763451135 x 352692713 x 147552951 x 13565
Negative: -1 x -40030315-5 x -8006063-13 x -3079255-65 x -615851-227 x -176345-1135 x -35269-2713 x -14755-2951 x -13565


How do I find the factor combinations of the number 40,030,315?

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 40,030,315, 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 40,030,315
-1 -40,030,315

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 40,030,315.

Example:
1 x 40,030,315 = 40,030,315
and
-1 x -40,030,315 = 40,030,315
Notice both answers equal 40,030,315

With that explanation out of the way, let's continue. Next, we take the number 40,030,315 and divide it by 2:

40,030,315 ÷ 2 = 20,015,157.5

If the quotient is a whole number, then 2 and 20,015,157.5 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 40,030,315
-1 -40,030,315

Now, we try dividing 40,030,315 by 3:

40,030,315 ÷ 3 = 13,343,438.3333

If the quotient is a whole number, then 3 and 13,343,438.3333 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 40,030,315
-1 -40,030,315

Let's try dividing by 4:

40,030,315 ÷ 4 = 10,007,578.75

If the quotient is a whole number, then 4 and 10,007,578.75 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 40,030,315
-1 40,030,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652271,1352,7132,95113,56514,75535,269176,345615,8513,079,2558,006,06340,030,315
-1-5-13-65-227-1,135-2,713-2,951-13,565-14,755-35,269-176,345-615,851-3,079,255-8,006,063-40,030,315

More Examples

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