Q: What are the factor combinations of the number 24,352,105?

 A:
Positive:   1 x 243521055 x 487042137 x 658165139 x 175195185 x 131633695 x 35039947 x 257154735 x 5143
Negative: -1 x -24352105-5 x -4870421-37 x -658165-139 x -175195-185 x -131633-695 x -35039-947 x -25715-4735 x -5143


How do I find the factor combinations of the number 24,352,105?

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 24,352,105, 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 24,352,105
-1 -24,352,105

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 24,352,105.

Example:
1 x 24,352,105 = 24,352,105
and
-1 x -24,352,105 = 24,352,105
Notice both answers equal 24,352,105

With that explanation out of the way, let's continue. Next, we take the number 24,352,105 and divide it by 2:

24,352,105 ÷ 2 = 12,176,052.5

If the quotient is a whole number, then 2 and 12,176,052.5 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 24,352,105
-1 -24,352,105

Now, we try dividing 24,352,105 by 3:

24,352,105 ÷ 3 = 8,117,368.3333

If the quotient is a whole number, then 3 and 8,117,368.3333 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 24,352,105
-1 -24,352,105

Let's try dividing by 4:

24,352,105 ÷ 4 = 6,088,026.25

If the quotient is a whole number, then 4 and 6,088,026.25 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 24,352,105
-1 24,352,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15371391856959474,7355,14325,71535,039131,633175,195658,1654,870,42124,352,105
-1-5-37-139-185-695-947-4,735-5,143-25,715-35,039-131,633-175,195-658,165-4,870,421-24,352,105

More Examples

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