Q: What are the factor combinations of the number 40,663,655?

 A:
Positive:   1 x 406636555 x 813273123 x 176798529 x 140219589 x 456895115 x 353597137 x 296815145 x 280439445 x 91379667 x 60965685 x 593632047 x 198652581 x 157553151 x 129053335 x 121933973 x 10235
Negative: -1 x -40663655-5 x -8132731-23 x -1767985-29 x -1402195-89 x -456895-115 x -353597-137 x -296815-145 x -280439-445 x -91379-667 x -60965-685 x -59363-2047 x -19865-2581 x -15755-3151 x -12905-3335 x -12193-3973 x -10235


How do I find the factor combinations of the number 40,663,655?

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 40,663,655, 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 40,663,655
-1 -40,663,655

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 40,663,655.

Example:
1 x 40,663,655 = 40,663,655
and
-1 x -40,663,655 = 40,663,655
Notice both answers equal 40,663,655

With that explanation out of the way, let's continue. Next, we take the number 40,663,655 and divide it by 2:

40,663,655 ÷ 2 = 20,331,827.5

If the quotient is a whole number, then 2 and 20,331,827.5 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 40,663,655
-1 -40,663,655

Now, we try dividing 40,663,655 by 3:

40,663,655 ÷ 3 = 13,554,551.6667

If the quotient is a whole number, then 3 and 13,554,551.6667 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 40,663,655
-1 -40,663,655

Let's try dividing by 4:

40,663,655 ÷ 4 = 10,165,913.75

If the quotient is a whole number, then 4 and 10,165,913.75 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 40,663,655
-1 40,663,655
Keep dividing by the next highest number until you cannot divide anymore.

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

152329891151371454456676852,0472,5813,1513,3353,97310,23512,19312,90515,75519,86559,36360,96591,379280,439296,815353,597456,8951,402,1951,767,9858,132,73140,663,655
-1-5-23-29-89-115-137-145-445-667-685-2,047-2,581-3,151-3,335-3,973-10,235-12,193-12,905-15,755-19,865-59,363-60,965-91,379-280,439-296,815-353,597-456,895-1,402,195-1,767,985-8,132,731-40,663,655

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