Q: What are the factor combinations of the number 24,522,797?

 A:
Positive:   1 x 2452279713 x 188636941 x 598117139 x 176423331 x 74087533 x 460091807 x 135714303 x 5699
Negative: -1 x -24522797-13 x -1886369-41 x -598117-139 x -176423-331 x -74087-533 x -46009-1807 x -13571-4303 x -5699


How do I find the factor combinations of the number 24,522,797?

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 24,522,797, 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 24,522,797
-1 -24,522,797

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 24,522,797.

Example:
1 x 24,522,797 = 24,522,797
and
-1 x -24,522,797 = 24,522,797
Notice both answers equal 24,522,797

With that explanation out of the way, let's continue. Next, we take the number 24,522,797 and divide it by 2:

24,522,797 ÷ 2 = 12,261,398.5

If the quotient is a whole number, then 2 and 12,261,398.5 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 24,522,797
-1 -24,522,797

Now, we try dividing 24,522,797 by 3:

24,522,797 ÷ 3 = 8,174,265.6667

If the quotient is a whole number, then 3 and 8,174,265.6667 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 24,522,797
-1 -24,522,797

Let's try dividing by 4:

24,522,797 ÷ 4 = 6,130,699.25

If the quotient is a whole number, then 4 and 6,130,699.25 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 24,522,797
-1 24,522,797
Keep dividing by the next highest number until you cannot divide anymore.

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

113411393315331,8074,3035,69913,57146,00974,087176,423598,1171,886,36924,522,797
-1-13-41-139-331-533-1,807-4,303-5,699-13,571-46,009-74,087-176,423-598,117-1,886,369-24,522,797

More Examples

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