Q: What are the factor combinations of the number 40,023,445?

 A:
Positive:   1 x 400234455 x 80046897 x 571763511 x 363849535 x 114352749 x 81680555 x 72769977 x 519785245 x 163361385 x 103957539 x 742552695 x 14851
Negative: -1 x -40023445-5 x -8004689-7 x -5717635-11 x -3638495-35 x -1143527-49 x -816805-55 x -727699-77 x -519785-245 x -163361-385 x -103957-539 x -74255-2695 x -14851


How do I find the factor combinations of the number 40,023,445?

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 40,023,445, 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 40,023,445
-1 -40,023,445

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 40,023,445.

Example:
1 x 40,023,445 = 40,023,445
and
-1 x -40,023,445 = 40,023,445
Notice both answers equal 40,023,445

With that explanation out of the way, let's continue. Next, we take the number 40,023,445 and divide it by 2:

40,023,445 ÷ 2 = 20,011,722.5

If the quotient is a whole number, then 2 and 20,011,722.5 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 40,023,445
-1 -40,023,445

Now, we try dividing 40,023,445 by 3:

40,023,445 ÷ 3 = 13,341,148.3333

If the quotient is a whole number, then 3 and 13,341,148.3333 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 40,023,445
-1 -40,023,445

Let's try dividing by 4:

40,023,445 ÷ 4 = 10,005,861.25

If the quotient is a whole number, then 4 and 10,005,861.25 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 40,023,445
-1 40,023,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,69514,85174,255103,957163,361519,785727,699816,8051,143,5273,638,4955,717,6358,004,68940,023,445
-1-5-7-11-35-49-55-77-245-385-539-2,695-14,851-74,255-103,957-163,361-519,785-727,699-816,805-1,143,527-3,638,495-5,717,635-8,004,689-40,023,445

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