Q: What are the factor combinations of the number 43,343,135?

 A:
Positive:   1 x 433431355 x 866862711 x 394028553 x 81779555 x 788057265 x 163559583 x 743452915 x 14869
Negative: -1 x -43343135-5 x -8668627-11 x -3940285-53 x -817795-55 x -788057-265 x -163559-583 x -74345-2915 x -14869


How do I find the factor combinations of the number 43,343,135?

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 43,343,135, 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 43,343,135
-1 -43,343,135

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 43,343,135.

Example:
1 x 43,343,135 = 43,343,135
and
-1 x -43,343,135 = 43,343,135
Notice both answers equal 43,343,135

With that explanation out of the way, let's continue. Next, we take the number 43,343,135 and divide it by 2:

43,343,135 ÷ 2 = 21,671,567.5

If the quotient is a whole number, then 2 and 21,671,567.5 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 43,343,135
-1 -43,343,135

Now, we try dividing 43,343,135 by 3:

43,343,135 ÷ 3 = 14,447,711.6667

If the quotient is a whole number, then 3 and 14,447,711.6667 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 43,343,135
-1 -43,343,135

Let's try dividing by 4:

43,343,135 ÷ 4 = 10,835,783.75

If the quotient is a whole number, then 4 and 10,835,783.75 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 43,343,135
-1 43,343,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151153552655832,91514,86974,345163,559788,057817,7953,940,2858,668,62743,343,135
-1-5-11-53-55-265-583-2,915-14,869-74,345-163,559-788,057-817,795-3,940,285-8,668,627-43,343,135

More Examples

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