Q: What are the factor combinations of the number 24,013,003?

 A:
Positive:   1 x 240130037 x 343042931 x 77461341 x 585683217 x 110659287 x 836691271 x 188932699 x 8897
Negative: -1 x -24013003-7 x -3430429-31 x -774613-41 x -585683-217 x -110659-287 x -83669-1271 x -18893-2699 x -8897


How do I find the factor combinations of the number 24,013,003?

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 24,013,003, 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 24,013,003
-1 -24,013,003

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 24,013,003.

Example:
1 x 24,013,003 = 24,013,003
and
-1 x -24,013,003 = 24,013,003
Notice both answers equal 24,013,003

With that explanation out of the way, let's continue. Next, we take the number 24,013,003 and divide it by 2:

24,013,003 ÷ 2 = 12,006,501.5

If the quotient is a whole number, then 2 and 12,006,501.5 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 24,013,003
-1 -24,013,003

Now, we try dividing 24,013,003 by 3:

24,013,003 ÷ 3 = 8,004,334.3333

If the quotient is a whole number, then 3 and 8,004,334.3333 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 24,013,003
-1 -24,013,003

Let's try dividing by 4:

24,013,003 ÷ 4 = 6,003,250.75

If the quotient is a whole number, then 4 and 6,003,250.75 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 24,013,003
-1 24,013,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1731412172871,2712,6998,89718,89383,669110,659585,683774,6133,430,42924,013,003
-1-7-31-41-217-287-1,271-2,699-8,897-18,893-83,669-110,659-585,683-774,613-3,430,429-24,013,003

More Examples

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