Q: What are the factor combinations of the number 23,430,017?

 A:
Positive:   1 x 2343001713 x 180230931 x 75580747 x 498511403 x 58139611 x 383471237 x 189411457 x 16081
Negative: -1 x -23430017-13 x -1802309-31 x -755807-47 x -498511-403 x -58139-611 x -38347-1237 x -18941-1457 x -16081


How do I find the factor combinations of the number 23,430,017?

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 23,430,017, 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 23,430,017
-1 -23,430,017

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 23,430,017.

Example:
1 x 23,430,017 = 23,430,017
and
-1 x -23,430,017 = 23,430,017
Notice both answers equal 23,430,017

With that explanation out of the way, let's continue. Next, we take the number 23,430,017 and divide it by 2:

23,430,017 ÷ 2 = 11,715,008.5

If the quotient is a whole number, then 2 and 11,715,008.5 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 23,430,017
-1 -23,430,017

Now, we try dividing 23,430,017 by 3:

23,430,017 ÷ 3 = 7,810,005.6667

If the quotient is a whole number, then 3 and 7,810,005.6667 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 23,430,017
-1 -23,430,017

Let's try dividing by 4:

23,430,017 ÷ 4 = 5,857,504.25

If the quotient is a whole number, then 4 and 5,857,504.25 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 23,430,017
-1 23,430,017
Keep dividing by the next highest number until you cannot divide anymore.

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

11331474036111,2371,45716,08118,94138,34758,139498,511755,8071,802,30923,430,017
-1-13-31-47-403-611-1,237-1,457-16,081-18,941-38,347-58,139-498,511-755,807-1,802,309-23,430,017

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