Q: What are the factor combinations of the number 40,130,345?

 A:
Positive:   1 x 401303455 x 802606929 x 1383805103 x 389615145 x 276761515 x 779232687 x 149352987 x 13435
Negative: -1 x -40130345-5 x -8026069-29 x -1383805-103 x -389615-145 x -276761-515 x -77923-2687 x -14935-2987 x -13435


How do I find the factor combinations of the number 40,130,345?

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 40,130,345, 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 40,130,345
-1 -40,130,345

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 40,130,345.

Example:
1 x 40,130,345 = 40,130,345
and
-1 x -40,130,345 = 40,130,345
Notice both answers equal 40,130,345

With that explanation out of the way, let's continue. Next, we take the number 40,130,345 and divide it by 2:

40,130,345 ÷ 2 = 20,065,172.5

If the quotient is a whole number, then 2 and 20,065,172.5 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 40,130,345
-1 -40,130,345

Now, we try dividing 40,130,345 by 3:

40,130,345 ÷ 3 = 13,376,781.6667

If the quotient is a whole number, then 3 and 13,376,781.6667 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 40,130,345
-1 -40,130,345

Let's try dividing by 4:

40,130,345 ÷ 4 = 10,032,586.25

If the quotient is a whole number, then 4 and 10,032,586.25 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 40,130,345
-1 40,130,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15291031455152,6872,98713,43514,93577,923276,761389,6151,383,8058,026,06940,130,345
-1-5-29-103-145-515-2,687-2,987-13,435-14,935-77,923-276,761-389,615-1,383,805-8,026,069-40,130,345

More Examples

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