Q: What are the factor combinations of the number 43,516,693?

 A:
Positive:   1 x 4351669311 x 3956063167 x 2605791837 x 23689
Negative: -1 x -43516693-11 x -3956063-167 x -260579-1837 x -23689


How do I find the factor combinations of the number 43,516,693?

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 43,516,693, 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 43,516,693
-1 -43,516,693

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 43,516,693.

Example:
1 x 43,516,693 = 43,516,693
and
-1 x -43,516,693 = 43,516,693
Notice both answers equal 43,516,693

With that explanation out of the way, let's continue. Next, we take the number 43,516,693 and divide it by 2:

43,516,693 ÷ 2 = 21,758,346.5

If the quotient is a whole number, then 2 and 21,758,346.5 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 43,516,693
-1 -43,516,693

Now, we try dividing 43,516,693 by 3:

43,516,693 ÷ 3 = 14,505,564.3333

If the quotient is a whole number, then 3 and 14,505,564.3333 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 43,516,693
-1 -43,516,693

Let's try dividing by 4:

43,516,693 ÷ 4 = 10,879,173.25

If the quotient is a whole number, then 4 and 10,879,173.25 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 43,516,693
-1 43,516,693
Keep dividing by the next highest number until you cannot divide anymore.

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

1111671,83723,689260,5793,956,06343,516,693
-1-11-167-1,837-23,689-260,579-3,956,063-43,516,693

More Examples

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