Q: What are the factor combinations of the number 24,470,827?

 A:
Positive:   1 x 2447082723 x 106394943 x 569089109 x 224503227 x 107801989 x 247432507 x 97614687 x 5221
Negative: -1 x -24470827-23 x -1063949-43 x -569089-109 x -224503-227 x -107801-989 x -24743-2507 x -9761-4687 x -5221


How do I find the factor combinations of the number 24,470,827?

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 24,470,827, 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 24,470,827
-1 -24,470,827

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 24,470,827.

Example:
1 x 24,470,827 = 24,470,827
and
-1 x -24,470,827 = 24,470,827
Notice both answers equal 24,470,827

With that explanation out of the way, let's continue. Next, we take the number 24,470,827 and divide it by 2:

24,470,827 ÷ 2 = 12,235,413.5

If the quotient is a whole number, then 2 and 12,235,413.5 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 24,470,827
-1 -24,470,827

Now, we try dividing 24,470,827 by 3:

24,470,827 ÷ 3 = 8,156,942.3333

If the quotient is a whole number, then 3 and 8,156,942.3333 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 24,470,827
-1 -24,470,827

Let's try dividing by 4:

24,470,827 ÷ 4 = 6,117,706.75

If the quotient is a whole number, then 4 and 6,117,706.75 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 24,470,827
-1 24,470,827
Keep dividing by the next highest number until you cannot divide anymore.

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

123431092279892,5074,6875,2219,76124,743107,801224,503569,0891,063,94924,470,827
-1-23-43-109-227-989-2,507-4,687-5,221-9,761-24,743-107,801-224,503-569,089-1,063,949-24,470,827

More Examples

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