Q: What are the factor combinations of the number 24,351,503?

 A:
Positive:   1 x 2435150311 x 221377323 x 105876129 x 839707253 x 96251319 x 76337667 x 365093319 x 7337
Negative: -1 x -24351503-11 x -2213773-23 x -1058761-29 x -839707-253 x -96251-319 x -76337-667 x -36509-3319 x -7337


How do I find the factor combinations of the number 24,351,503?

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 24,351,503, 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 24,351,503
-1 -24,351,503

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 24,351,503.

Example:
1 x 24,351,503 = 24,351,503
and
-1 x -24,351,503 = 24,351,503
Notice both answers equal 24,351,503

With that explanation out of the way, let's continue. Next, we take the number 24,351,503 and divide it by 2:

24,351,503 ÷ 2 = 12,175,751.5

If the quotient is a whole number, then 2 and 12,175,751.5 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 24,351,503
-1 -24,351,503

Now, we try dividing 24,351,503 by 3:

24,351,503 ÷ 3 = 8,117,167.6667

If the quotient is a whole number, then 3 and 8,117,167.6667 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 24,351,503
-1 -24,351,503

Let's try dividing by 4:

24,351,503 ÷ 4 = 6,087,875.75

If the quotient is a whole number, then 4 and 6,087,875.75 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 24,351,503
-1 24,351,503
Keep dividing by the next highest number until you cannot divide anymore.

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

11123292533196673,3197,33736,50976,33796,251839,7071,058,7612,213,77324,351,503
-1-11-23-29-253-319-667-3,319-7,337-36,509-76,337-96,251-839,707-1,058,761-2,213,773-24,351,503

More Examples

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