Q: What are the factor combinations of the number 42,005,495?

 A:
Positive:   1 x 420054955 x 84010997 x 600078535 x 120015749 x 857255245 x 171451343 x 1224651715 x 244932401 x 174953499 x 12005
Negative: -1 x -42005495-5 x -8401099-7 x -6000785-35 x -1200157-49 x -857255-245 x -171451-343 x -122465-1715 x -24493-2401 x -17495-3499 x -12005


How do I find the factor combinations of the number 42,005,495?

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 42,005,495, 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 42,005,495
-1 -42,005,495

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 42,005,495.

Example:
1 x 42,005,495 = 42,005,495
and
-1 x -42,005,495 = 42,005,495
Notice both answers equal 42,005,495

With that explanation out of the way, let's continue. Next, we take the number 42,005,495 and divide it by 2:

42,005,495 ÷ 2 = 21,002,747.5

If the quotient is a whole number, then 2 and 21,002,747.5 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 42,005,495
-1 -42,005,495

Now, we try dividing 42,005,495 by 3:

42,005,495 ÷ 3 = 14,001,831.6667

If the quotient is a whole number, then 3 and 14,001,831.6667 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 42,005,495
-1 -42,005,495

Let's try dividing by 4:

42,005,495 ÷ 4 = 10,501,373.75

If the quotient is a whole number, then 4 and 10,501,373.75 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 42,005,495
-1 42,005,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7152,4013,49912,00517,49524,493122,465171,451857,2551,200,1576,000,7858,401,09942,005,495
-1-5-7-35-49-245-343-1,715-2,401-3,499-12,005-17,495-24,493-122,465-171,451-857,255-1,200,157-6,000,785-8,401,099-42,005,495

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