Q: What are the factor combinations of the number 43,024,055?

 A:
Positive:   1 x 430240555 x 8604811
Negative: -1 x -43024055-5 x -8604811


How do I find the factor combinations of the number 43,024,055?

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 43,024,055, 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 43,024,055
-1 -43,024,055

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 43,024,055.

Example:
1 x 43,024,055 = 43,024,055
and
-1 x -43,024,055 = 43,024,055
Notice both answers equal 43,024,055

With that explanation out of the way, let's continue. Next, we take the number 43,024,055 and divide it by 2:

43,024,055 ÷ 2 = 21,512,027.5

If the quotient is a whole number, then 2 and 21,512,027.5 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 43,024,055
-1 -43,024,055

Now, we try dividing 43,024,055 by 3:

43,024,055 ÷ 3 = 14,341,351.6667

If the quotient is a whole number, then 3 and 14,341,351.6667 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 43,024,055
-1 -43,024,055

Let's try dividing by 4:

43,024,055 ÷ 4 = 10,756,013.75

If the quotient is a whole number, then 4 and 10,756,013.75 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 43,024,055
-1 43,024,055
Keep dividing by the next highest number until you cannot divide anymore.

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

158,604,81143,024,055
-1-5-8,604,811-43,024,055

More Examples

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