Q: What are the factor combinations of the number 140,034,713?

 A:
Positive:   1 x 1400347137 x 2000495913 x 1077190191 x 15388431181 x 1185731303 x 1074718267 x 169399121 x 15353
Negative: -1 x -140034713-7 x -20004959-13 x -10771901-91 x -1538843-1181 x -118573-1303 x -107471-8267 x -16939-9121 x -15353


How do I find the factor combinations of the number 140,034,713?

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 140,034,713, 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.

1 140,034,713
-1 -140,034,713

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 140,034,713.

Example:
1 x 140,034,713 = 140,034,713
and
-1 x -140,034,713 = 140,034,713
Notice both answers equal 140,034,713

With that explanation out of the way, let's continue. Next, we take the number 140,034,713 and divide it by 2:

140,034,713 ÷ 2 = 70,017,356.5

If the quotient is a whole number, then 2 and 70,017,356.5 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:

1 140,034,713
-1 -140,034,713

Now, we try dividing 140,034,713 by 3:

140,034,713 ÷ 3 = 46,678,237.6667

If the quotient is a whole number, then 3 and 46,678,237.6667 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:

1 140,034,713
-1 -140,034,713

Let's try dividing by 4:

140,034,713 ÷ 4 = 35,008,678.25

If the quotient is a whole number, then 4 and 35,008,678.25 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:

1 140,034,713
-1 140,034,713
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,1811,3038,2679,12115,35316,939107,471118,5731,538,84310,771,90120,004,959140,034,713
-1-7-13-91-1,181-1,303-8,267-9,121-15,353-16,939-107,471-118,573-1,538,843-10,771,901-20,004,959-140,034,713

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