Q: What are the factor combinations of the number 23,460,385?

 A:
Positive:   1 x 234603855 x 469207713 x 180464565 x 36092967 x 350155335 x 70031871 x 269354355 x 5387
Negative: -1 x -23460385-5 x -4692077-13 x -1804645-65 x -360929-67 x -350155-335 x -70031-871 x -26935-4355 x -5387


How do I find the factor combinations of the number 23,460,385?

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 23,460,385, 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 23,460,385
-1 -23,460,385

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 23,460,385.

Example:
1 x 23,460,385 = 23,460,385
and
-1 x -23,460,385 = 23,460,385
Notice both answers equal 23,460,385

With that explanation out of the way, let's continue. Next, we take the number 23,460,385 and divide it by 2:

23,460,385 ÷ 2 = 11,730,192.5

If the quotient is a whole number, then 2 and 11,730,192.5 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 23,460,385
-1 -23,460,385

Now, we try dividing 23,460,385 by 3:

23,460,385 ÷ 3 = 7,820,128.3333

If the quotient is a whole number, then 3 and 7,820,128.3333 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 23,460,385
-1 -23,460,385

Let's try dividing by 4:

23,460,385 ÷ 4 = 5,865,096.25

If the quotient is a whole number, then 4 and 5,865,096.25 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 23,460,385
-1 23,460,385
Keep dividing by the next highest number until you cannot divide anymore.

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

151365673358714,3555,38726,93570,031350,155360,9291,804,6454,692,07723,460,385
-1-5-13-65-67-335-871-4,355-5,387-26,935-70,031-350,155-360,929-1,804,645-4,692,077-23,460,385

More Examples

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