Q: What are the factor combinations of the number 40,103,855?

 A:
Positive:   1 x 401038555 x 802077111 x 364580555 x 72916167 x 598565335 x 119713737 x 544153685 x 10883
Negative: -1 x -40103855-5 x -8020771-11 x -3645805-55 x -729161-67 x -598565-335 x -119713-737 x -54415-3685 x -10883


How do I find the factor combinations of the number 40,103,855?

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 40,103,855, 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 40,103,855
-1 -40,103,855

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 40,103,855.

Example:
1 x 40,103,855 = 40,103,855
and
-1 x -40,103,855 = 40,103,855
Notice both answers equal 40,103,855

With that explanation out of the way, let's continue. Next, we take the number 40,103,855 and divide it by 2:

40,103,855 ÷ 2 = 20,051,927.5

If the quotient is a whole number, then 2 and 20,051,927.5 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 40,103,855
-1 -40,103,855

Now, we try dividing 40,103,855 by 3:

40,103,855 ÷ 3 = 13,367,951.6667

If the quotient is a whole number, then 3 and 13,367,951.6667 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 40,103,855
-1 -40,103,855

Let's try dividing by 4:

40,103,855 ÷ 4 = 10,025,963.75

If the quotient is a whole number, then 4 and 10,025,963.75 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 40,103,855
-1 40,103,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,68510,88354,415119,713598,565729,1613,645,8058,020,77140,103,855
-1-5-11-55-67-335-737-3,685-10,883-54,415-119,713-598,565-729,161-3,645,805-8,020,771-40,103,855

More Examples

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