Q: What are the factor combinations of the number 40,233,725?

 A:
Positive:   1 x 402337255 x 80467457 x 574767525 x 160934935 x 1149535149 x 270025175 x 229907745 x 540051043 x 385751543 x 260753725 x 108015215 x 7715
Negative: -1 x -40233725-5 x -8046745-7 x -5747675-25 x -1609349-35 x -1149535-149 x -270025-175 x -229907-745 x -54005-1043 x -38575-1543 x -26075-3725 x -10801-5215 x -7715


How do I find the factor combinations of the number 40,233,725?

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 40,233,725, 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 40,233,725
-1 -40,233,725

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 40,233,725.

Example:
1 x 40,233,725 = 40,233,725
and
-1 x -40,233,725 = 40,233,725
Notice both answers equal 40,233,725

With that explanation out of the way, let's continue. Next, we take the number 40,233,725 and divide it by 2:

40,233,725 ÷ 2 = 20,116,862.5

If the quotient is a whole number, then 2 and 20,116,862.5 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 40,233,725
-1 -40,233,725

Now, we try dividing 40,233,725 by 3:

40,233,725 ÷ 3 = 13,411,241.6667

If the quotient is a whole number, then 3 and 13,411,241.6667 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 40,233,725
-1 -40,233,725

Let's try dividing by 4:

40,233,725 ÷ 4 = 10,058,431.25

If the quotient is a whole number, then 4 and 10,058,431.25 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 40,233,725
-1 40,233,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351491757451,0431,5433,7255,2157,71510,80126,07538,57554,005229,907270,0251,149,5351,609,3495,747,6758,046,74540,233,725
-1-5-7-25-35-149-175-745-1,043-1,543-3,725-5,215-7,715-10,801-26,075-38,575-54,005-229,907-270,025-1,149,535-1,609,349-5,747,675-8,046,745-40,233,725

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