Q: What are the factor combinations of the number 140,322,425?

 A:
Positive:   1 x 1403224255 x 2806448523 x 610097525 x 561289773 x 1922225115 x 1220195365 x 384445575 x 2440391679 x 835751825 x 768893343 x 419758395 x 16715
Negative: -1 x -140322425-5 x -28064485-23 x -6100975-25 x -5612897-73 x -1922225-115 x -1220195-365 x -384445-575 x -244039-1679 x -83575-1825 x -76889-3343 x -41975-8395 x -16715


How do I find the factor combinations of the number 140,322,425?

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 140,322,425, 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.

1 140,322,425
-1 -140,322,425

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 140,322,425.

Example:
1 x 140,322,425 = 140,322,425
and
-1 x -140,322,425 = 140,322,425
Notice both answers equal 140,322,425

With that explanation out of the way, let's continue. Next, we take the number 140,322,425 and divide it by 2:

140,322,425 ÷ 2 = 70,161,212.5

If the quotient is a whole number, then 2 and 70,161,212.5 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:

1 140,322,425
-1 -140,322,425

Now, we try dividing 140,322,425 by 3:

140,322,425 ÷ 3 = 46,774,141.6667

If the quotient is a whole number, then 3 and 46,774,141.6667 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:

1 140,322,425
-1 -140,322,425

Let's try dividing by 4:

140,322,425 ÷ 4 = 35,080,606.25

If the quotient is a whole number, then 4 and 35,080,606.25 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:

1 140,322,425
-1 140,322,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325731153655751,6791,8253,3438,39516,71541,97576,88983,575244,039384,4451,220,1951,922,2255,612,8976,100,97528,064,485140,322,425
-1-5-23-25-73-115-365-575-1,679-1,825-3,343-8,395-16,715-41,975-76,889-83,575-244,039-384,445-1,220,195-1,922,225-5,612,897-6,100,975-28,064,485-140,322,425

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