Q: What are the factor combinations of the number 70,043,735?

 A:
Positive:   1 x 700437355 x 14008747131 x 534685655 x 106937
Negative: -1 x -70043735-5 x -14008747-131 x -534685-655 x -106937


How do I find the factor combinations of the number 70,043,735?

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 70,043,735, 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 70,043,735
-1 -70,043,735

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 70,043,735.

Example:
1 x 70,043,735 = 70,043,735
and
-1 x -70,043,735 = 70,043,735
Notice both answers equal 70,043,735

With that explanation out of the way, let's continue. Next, we take the number 70,043,735 and divide it by 2:

70,043,735 ÷ 2 = 35,021,867.5

If the quotient is a whole number, then 2 and 35,021,867.5 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 70,043,735
-1 -70,043,735

Now, we try dividing 70,043,735 by 3:

70,043,735 ÷ 3 = 23,347,911.6667

If the quotient is a whole number, then 3 and 23,347,911.6667 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 70,043,735
-1 -70,043,735

Let's try dividing by 4:

70,043,735 ÷ 4 = 17,510,933.75

If the quotient is a whole number, then 4 and 17,510,933.75 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 70,043,735
-1 70,043,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15131655106,937534,68514,008,74770,043,735
-1-5-131-655-106,937-534,685-14,008,747-70,043,735

More Examples

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