Q: What are the factor combinations of the number 43,717,423?

 A:
Positive:   1 x 4371742319 x 230091789 x 491207103 x 424441251 x 1741731691 x 258531957 x 223394769 x 9167
Negative: -1 x -43717423-19 x -2300917-89 x -491207-103 x -424441-251 x -174173-1691 x -25853-1957 x -22339-4769 x -9167


How do I find the factor combinations of the number 43,717,423?

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 43,717,423, 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 43,717,423
-1 -43,717,423

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 43,717,423.

Example:
1 x 43,717,423 = 43,717,423
and
-1 x -43,717,423 = 43,717,423
Notice both answers equal 43,717,423

With that explanation out of the way, let's continue. Next, we take the number 43,717,423 and divide it by 2:

43,717,423 ÷ 2 = 21,858,711.5

If the quotient is a whole number, then 2 and 21,858,711.5 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 43,717,423
-1 -43,717,423

Now, we try dividing 43,717,423 by 3:

43,717,423 ÷ 3 = 14,572,474.3333

If the quotient is a whole number, then 3 and 14,572,474.3333 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 43,717,423
-1 -43,717,423

Let's try dividing by 4:

43,717,423 ÷ 4 = 10,929,355.75

If the quotient is a whole number, then 4 and 10,929,355.75 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 43,717,423
-1 43,717,423
Keep dividing by the next highest number until you cannot divide anymore.

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

119891032511,6911,9574,7699,16722,33925,853174,173424,441491,2072,300,91743,717,423
-1-19-89-103-251-1,691-1,957-4,769-9,167-22,339-25,853-174,173-424,441-491,207-2,300,917-43,717,423

More Examples

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