Q: What are the factor combinations of the number 24,432,553?

 A:
Positive:   1 x 2443255317 x 14372091103 x 221511303 x 18751
Negative: -1 x -24432553-17 x -1437209-1103 x -22151-1303 x -18751


How do I find the factor combinations of the number 24,432,553?

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 24,432,553, 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 24,432,553
-1 -24,432,553

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 24,432,553.

Example:
1 x 24,432,553 = 24,432,553
and
-1 x -24,432,553 = 24,432,553
Notice both answers equal 24,432,553

With that explanation out of the way, let's continue. Next, we take the number 24,432,553 and divide it by 2:

24,432,553 ÷ 2 = 12,216,276.5

If the quotient is a whole number, then 2 and 12,216,276.5 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 24,432,553
-1 -24,432,553

Now, we try dividing 24,432,553 by 3:

24,432,553 ÷ 3 = 8,144,184.3333

If the quotient is a whole number, then 3 and 8,144,184.3333 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 24,432,553
-1 -24,432,553

Let's try dividing by 4:

24,432,553 ÷ 4 = 6,108,138.25

If the quotient is a whole number, then 4 and 6,108,138.25 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 24,432,553
-1 24,432,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1171,1031,30318,75122,1511,437,20924,432,553
-1-17-1,103-1,303-18,751-22,151-1,437,209-24,432,553

More Examples

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