Q: What are the factor combinations of the number 43,001,203?

 A:
Positive:   1 x 430012037 x 614302967 x 641809277 x 155239331 x 129913469 x 916871939 x 221772317 x 18559
Negative: -1 x -43001203-7 x -6143029-67 x -641809-277 x -155239-331 x -129913-469 x -91687-1939 x -22177-2317 x -18559


How do I find the factor combinations of the number 43,001,203?

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 43,001,203, 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 43,001,203
-1 -43,001,203

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 43,001,203.

Example:
1 x 43,001,203 = 43,001,203
and
-1 x -43,001,203 = 43,001,203
Notice both answers equal 43,001,203

With that explanation out of the way, let's continue. Next, we take the number 43,001,203 and divide it by 2:

43,001,203 ÷ 2 = 21,500,601.5

If the quotient is a whole number, then 2 and 21,500,601.5 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 43,001,203
-1 -43,001,203

Now, we try dividing 43,001,203 by 3:

43,001,203 ÷ 3 = 14,333,734.3333

If the quotient is a whole number, then 3 and 14,333,734.3333 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 43,001,203
-1 -43,001,203

Let's try dividing by 4:

43,001,203 ÷ 4 = 10,750,300.75

If the quotient is a whole number, then 4 and 10,750,300.75 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 43,001,203
-1 43,001,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17672773314691,9392,31718,55922,17791,687129,913155,239641,8096,143,02943,001,203
-1-7-67-277-331-469-1,939-2,317-18,559-22,177-91,687-129,913-155,239-641,809-6,143,029-43,001,203

More Examples

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