Q: What are the factor combinations of the number 43,234,615?

 A:
Positive:   1 x 432346155 x 864692331 x 139466573 x 592255155 x 278933365 x 1184512263 x 191053821 x 11315
Negative: -1 x -43234615-5 x -8646923-31 x -1394665-73 x -592255-155 x -278933-365 x -118451-2263 x -19105-3821 x -11315


How do I find the factor combinations of the number 43,234,615?

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 43,234,615, 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 43,234,615
-1 -43,234,615

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 43,234,615.

Example:
1 x 43,234,615 = 43,234,615
and
-1 x -43,234,615 = 43,234,615
Notice both answers equal 43,234,615

With that explanation out of the way, let's continue. Next, we take the number 43,234,615 and divide it by 2:

43,234,615 ÷ 2 = 21,617,307.5

If the quotient is a whole number, then 2 and 21,617,307.5 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 43,234,615
-1 -43,234,615

Now, we try dividing 43,234,615 by 3:

43,234,615 ÷ 3 = 14,411,538.3333

If the quotient is a whole number, then 3 and 14,411,538.3333 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 43,234,615
-1 -43,234,615

Let's try dividing by 4:

43,234,615 ÷ 4 = 10,808,653.75

If the quotient is a whole number, then 4 and 10,808,653.75 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 43,234,615
-1 43,234,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1531731553652,2633,82111,31519,105118,451278,933592,2551,394,6658,646,92343,234,615
-1-5-31-73-155-365-2,263-3,821-11,315-19,105-118,451-278,933-592,255-1,394,665-8,646,923-43,234,615

More Examples

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