Q: What are the factor combinations of the number 40,383,745?

 A:
Positive:   1 x 403837455 x 807674923 x 1755815115 x 351163433 x 93265811 x 497952165 x 186534055 x 9959
Negative: -1 x -40383745-5 x -8076749-23 x -1755815-115 x -351163-433 x -93265-811 x -49795-2165 x -18653-4055 x -9959


How do I find the factor combinations of the number 40,383,745?

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 40,383,745, 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 40,383,745
-1 -40,383,745

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 40,383,745.

Example:
1 x 40,383,745 = 40,383,745
and
-1 x -40,383,745 = 40,383,745
Notice both answers equal 40,383,745

With that explanation out of the way, let's continue. Next, we take the number 40,383,745 and divide it by 2:

40,383,745 ÷ 2 = 20,191,872.5

If the quotient is a whole number, then 2 and 20,191,872.5 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 40,383,745
-1 -40,383,745

Now, we try dividing 40,383,745 by 3:

40,383,745 ÷ 3 = 13,461,248.3333

If the quotient is a whole number, then 3 and 13,461,248.3333 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 40,383,745
-1 -40,383,745

Let's try dividing by 4:

40,383,745 ÷ 4 = 10,095,936.25

If the quotient is a whole number, then 4 and 10,095,936.25 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 40,383,745
-1 40,383,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154338112,1654,0559,95918,65349,79593,265351,1631,755,8158,076,74940,383,745
-1-5-23-115-433-811-2,165-4,055-9,959-18,653-49,795-93,265-351,163-1,755,815-8,076,749-40,383,745

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