Q: What are the factor combinations of the number 24,307,631?

 A:
Positive:   1 x 2430763119 x 127934937 x 65696371 x 342361487 x 49913703 x 345771349 x 180192627 x 9253
Negative: -1 x -24307631-19 x -1279349-37 x -656963-71 x -342361-487 x -49913-703 x -34577-1349 x -18019-2627 x -9253


How do I find the factor combinations of the number 24,307,631?

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 24,307,631, 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 24,307,631
-1 -24,307,631

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 24,307,631.

Example:
1 x 24,307,631 = 24,307,631
and
-1 x -24,307,631 = 24,307,631
Notice both answers equal 24,307,631

With that explanation out of the way, let's continue. Next, we take the number 24,307,631 and divide it by 2:

24,307,631 ÷ 2 = 12,153,815.5

If the quotient is a whole number, then 2 and 12,153,815.5 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 24,307,631
-1 -24,307,631

Now, we try dividing 24,307,631 by 3:

24,307,631 ÷ 3 = 8,102,543.6667

If the quotient is a whole number, then 3 and 8,102,543.6667 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 24,307,631
-1 -24,307,631

Let's try dividing by 4:

24,307,631 ÷ 4 = 6,076,907.75

If the quotient is a whole number, then 4 and 6,076,907.75 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 24,307,631
-1 24,307,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11937714877031,3492,6279,25318,01934,57749,913342,361656,9631,279,34924,307,631
-1-19-37-71-487-703-1,349-2,627-9,253-18,019-34,577-49,913-342,361-656,963-1,279,349-24,307,631

More Examples

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