Q: What are the factor combinations of the number 24,903,053?

 A:
Positive:   1 x 249030537 x 355757919 x 1310687113 x 220381133 x 187241791 x 314831657 x 150292147 x 11599
Negative: -1 x -24903053-7 x -3557579-19 x -1310687-113 x -220381-133 x -187241-791 x -31483-1657 x -15029-2147 x -11599


How do I find the factor combinations of the number 24,903,053?

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 24,903,053, 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 24,903,053
-1 -24,903,053

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 24,903,053.

Example:
1 x 24,903,053 = 24,903,053
and
-1 x -24,903,053 = 24,903,053
Notice both answers equal 24,903,053

With that explanation out of the way, let's continue. Next, we take the number 24,903,053 and divide it by 2:

24,903,053 ÷ 2 = 12,451,526.5

If the quotient is a whole number, then 2 and 12,451,526.5 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 24,903,053
-1 -24,903,053

Now, we try dividing 24,903,053 by 3:

24,903,053 ÷ 3 = 8,301,017.6667

If the quotient is a whole number, then 3 and 8,301,017.6667 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 24,903,053
-1 -24,903,053

Let's try dividing by 4:

24,903,053 ÷ 4 = 6,225,763.25

If the quotient is a whole number, then 4 and 6,225,763.25 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 24,903,053
-1 24,903,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17191131337911,6572,14711,59915,02931,483187,241220,3811,310,6873,557,57924,903,053
-1-7-19-113-133-791-1,657-2,147-11,599-15,029-31,483-187,241-220,381-1,310,687-3,557,579-24,903,053

More Examples

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