Q: What are the factor combinations of the number 23,342,525?

 A:
Positive:   1 x 233425255 x 466850525 x 93370153 x 44042579 x 295475223 x 104675265 x 88085395 x 590951115 x 209351325 x 176171975 x 118194187 x 5575
Negative: -1 x -23342525-5 x -4668505-25 x -933701-53 x -440425-79 x -295475-223 x -104675-265 x -88085-395 x -59095-1115 x -20935-1325 x -17617-1975 x -11819-4187 x -5575


How do I find the factor combinations of the number 23,342,525?

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 23,342,525, 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 23,342,525
-1 -23,342,525

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 23,342,525.

Example:
1 x 23,342,525 = 23,342,525
and
-1 x -23,342,525 = 23,342,525
Notice both answers equal 23,342,525

With that explanation out of the way, let's continue. Next, we take the number 23,342,525 and divide it by 2:

23,342,525 ÷ 2 = 11,671,262.5

If the quotient is a whole number, then 2 and 11,671,262.5 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 23,342,525
-1 -23,342,525

Now, we try dividing 23,342,525 by 3:

23,342,525 ÷ 3 = 7,780,841.6667

If the quotient is a whole number, then 3 and 7,780,841.6667 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 23,342,525
-1 -23,342,525

Let's try dividing by 4:

23,342,525 ÷ 4 = 5,835,631.25

If the quotient is a whole number, then 4 and 5,835,631.25 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 23,342,525
-1 23,342,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152553792232653951,1151,3251,9754,1875,57511,81917,61720,93559,09588,085104,675295,475440,425933,7014,668,50523,342,525
-1-5-25-53-79-223-265-395-1,115-1,325-1,975-4,187-5,575-11,819-17,617-20,935-59,095-88,085-104,675-295,475-440,425-933,701-4,668,505-23,342,525

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