Q: What are the factor combinations of the number 24,432,205?

 A:
Positive:   1 x 244322055 x 48864417 x 349031535 x 69806353 x 460985265 x 92197371 x 658551855 x 13171
Negative: -1 x -24432205-5 x -4886441-7 x -3490315-35 x -698063-53 x -460985-265 x -92197-371 x -65855-1855 x -13171


How do I find the factor combinations of the number 24,432,205?

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 24,432,205, 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 24,432,205
-1 -24,432,205

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 24,432,205.

Example:
1 x 24,432,205 = 24,432,205
and
-1 x -24,432,205 = 24,432,205
Notice both answers equal 24,432,205

With that explanation out of the way, let's continue. Next, we take the number 24,432,205 and divide it by 2:

24,432,205 ÷ 2 = 12,216,102.5

If the quotient is a whole number, then 2 and 12,216,102.5 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 24,432,205
-1 -24,432,205

Now, we try dividing 24,432,205 by 3:

24,432,205 ÷ 3 = 8,144,068.3333

If the quotient is a whole number, then 3 and 8,144,068.3333 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 24,432,205
-1 -24,432,205

Let's try dividing by 4:

24,432,205 ÷ 4 = 6,108,051.25

If the quotient is a whole number, then 4 and 6,108,051.25 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 24,432,205
-1 24,432,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85513,17165,85592,197460,985698,0633,490,3154,886,44124,432,205
-1-5-7-35-53-265-371-1,855-13,171-65,855-92,197-460,985-698,063-3,490,315-4,886,441-24,432,205

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