Q: What are the factor combinations of the number 40,140,445?

 A:
Positive:   1 x 401404455 x 802808919 x 211265595 x 422531521 x 77045811 x 494952605 x 154094055 x 9899
Negative: -1 x -40140445-5 x -8028089-19 x -2112655-95 x -422531-521 x -77045-811 x -49495-2605 x -15409-4055 x -9899


How do I find the factor combinations of the number 40,140,445?

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 40,140,445, 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 40,140,445
-1 -40,140,445

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 40,140,445.

Example:
1 x 40,140,445 = 40,140,445
and
-1 x -40,140,445 = 40,140,445
Notice both answers equal 40,140,445

With that explanation out of the way, let's continue. Next, we take the number 40,140,445 and divide it by 2:

40,140,445 ÷ 2 = 20,070,222.5

If the quotient is a whole number, then 2 and 20,070,222.5 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 40,140,445
-1 -40,140,445

Now, we try dividing 40,140,445 by 3:

40,140,445 ÷ 3 = 13,380,148.3333

If the quotient is a whole number, then 3 and 13,380,148.3333 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 40,140,445
-1 -40,140,445

Let's try dividing by 4:

40,140,445 ÷ 4 = 10,035,111.25

If the quotient is a whole number, then 4 and 10,035,111.25 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 40,140,445
-1 40,140,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1519955218112,6054,0559,89915,40949,49577,045422,5312,112,6558,028,08940,140,445
-1-5-19-95-521-811-2,605-4,055-9,899-15,409-49,495-77,045-422,531-2,112,655-8,028,089-40,140,445

More Examples

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