Q: What are the factor combinations of the number 140,607,629?

 A:
Positive:   1 x 14060762917 x 827103789 x 1579861199 x 706571467 x 3010871513 x 929333383 x 415637939 x 17711
Negative: -1 x -140607629-17 x -8271037-89 x -1579861-199 x -706571-467 x -301087-1513 x -92933-3383 x -41563-7939 x -17711


How do I find the factor combinations of the number 140,607,629?

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 140,607,629, 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.

1 140,607,629
-1 -140,607,629

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 140,607,629.

Example:
1 x 140,607,629 = 140,607,629
and
-1 x -140,607,629 = 140,607,629
Notice both answers equal 140,607,629

With that explanation out of the way, let's continue. Next, we take the number 140,607,629 and divide it by 2:

140,607,629 ÷ 2 = 70,303,814.5

If the quotient is a whole number, then 2 and 70,303,814.5 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:

1 140,607,629
-1 -140,607,629

Now, we try dividing 140,607,629 by 3:

140,607,629 ÷ 3 = 46,869,209.6667

If the quotient is a whole number, then 3 and 46,869,209.6667 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:

1 140,607,629
-1 -140,607,629

Let's try dividing by 4:

140,607,629 ÷ 4 = 35,151,907.25

If the quotient is a whole number, then 4 and 35,151,907.25 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:

1 140,607,629
-1 140,607,629
Keep dividing by the next highest number until you cannot divide anymore.

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

117891994671,5133,3837,93917,71141,56392,933301,087706,5711,579,8618,271,037140,607,629
-1-17-89-199-467-1,513-3,383-7,939-17,711-41,563-92,933-301,087-706,571-1,579,861-8,271,037-140,607,629

More Examples

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