Q: What are the factor combinations of the number 24,049,475?

 A:
Positive:   1 x 240494755 x 480989517 x 141467525 x 96197971 x 33872585 x 282935355 x 67745425 x 56587797 x 301751207 x 199251775 x 135493985 x 6035
Negative: -1 x -24049475-5 x -4809895-17 x -1414675-25 x -961979-71 x -338725-85 x -282935-355 x -67745-425 x -56587-797 x -30175-1207 x -19925-1775 x -13549-3985 x -6035


How do I find the factor combinations of the number 24,049,475?

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 24,049,475, 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 24,049,475
-1 -24,049,475

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 24,049,475.

Example:
1 x 24,049,475 = 24,049,475
and
-1 x -24,049,475 = 24,049,475
Notice both answers equal 24,049,475

With that explanation out of the way, let's continue. Next, we take the number 24,049,475 and divide it by 2:

24,049,475 ÷ 2 = 12,024,737.5

If the quotient is a whole number, then 2 and 12,024,737.5 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 24,049,475
-1 -24,049,475

Now, we try dividing 24,049,475 by 3:

24,049,475 ÷ 3 = 8,016,491.6667

If the quotient is a whole number, then 3 and 8,016,491.6667 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 24,049,475
-1 -24,049,475

Let's try dividing by 4:

24,049,475 ÷ 4 = 6,012,368.75

If the quotient is a whole number, then 4 and 6,012,368.75 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 24,049,475
-1 24,049,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15172571853554257971,2071,7753,9856,03513,54919,92530,17556,58767,745282,935338,725961,9791,414,6754,809,89524,049,475
-1-5-17-25-71-85-355-425-797-1,207-1,775-3,985-6,035-13,549-19,925-30,175-56,587-67,745-282,935-338,725-961,979-1,414,675-4,809,895-24,049,475

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