Q: What are the factor combinations of the number 24,622,703?

 A:
Positive:   1 x 246227037 x 351752943 x 572621179 x 137557301 x 81803457 x 538791253 x 196513199 x 7697
Negative: -1 x -24622703-7 x -3517529-43 x -572621-179 x -137557-301 x -81803-457 x -53879-1253 x -19651-3199 x -7697


How do I find the factor combinations of the number 24,622,703?

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 24,622,703, 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 24,622,703
-1 -24,622,703

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 24,622,703.

Example:
1 x 24,622,703 = 24,622,703
and
-1 x -24,622,703 = 24,622,703
Notice both answers equal 24,622,703

With that explanation out of the way, let's continue. Next, we take the number 24,622,703 and divide it by 2:

24,622,703 ÷ 2 = 12,311,351.5

If the quotient is a whole number, then 2 and 12,311,351.5 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 24,622,703
-1 -24,622,703

Now, we try dividing 24,622,703 by 3:

24,622,703 ÷ 3 = 8,207,567.6667

If the quotient is a whole number, then 3 and 8,207,567.6667 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 24,622,703
-1 -24,622,703

Let's try dividing by 4:

24,622,703 ÷ 4 = 6,155,675.75

If the quotient is a whole number, then 4 and 6,155,675.75 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 24,622,703
-1 24,622,703
Keep dividing by the next highest number until you cannot divide anymore.

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

17431793014571,2533,1997,69719,65153,87981,803137,557572,6213,517,52924,622,703
-1-7-43-179-301-457-1,253-3,199-7,697-19,651-53,879-81,803-137,557-572,621-3,517,529-24,622,703

More Examples

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