Q: What are the factor combinations of the number 24,963,197?

 A:
Positive:   1 x 249631977 x 356617137 x 67468149 x 509453259 x 96383281 x 88837343 x 727791813 x 137691967 x 126912401 x 10397
Negative: -1 x -24963197-7 x -3566171-37 x -674681-49 x -509453-259 x -96383-281 x -88837-343 x -72779-1813 x -13769-1967 x -12691-2401 x -10397


How do I find the factor combinations of the number 24,963,197?

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 24,963,197, 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 24,963,197
-1 -24,963,197

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 24,963,197.

Example:
1 x 24,963,197 = 24,963,197
and
-1 x -24,963,197 = 24,963,197
Notice both answers equal 24,963,197

With that explanation out of the way, let's continue. Next, we take the number 24,963,197 and divide it by 2:

24,963,197 ÷ 2 = 12,481,598.5

If the quotient is a whole number, then 2 and 12,481,598.5 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 24,963,197
-1 -24,963,197

Now, we try dividing 24,963,197 by 3:

24,963,197 ÷ 3 = 8,321,065.6667

If the quotient is a whole number, then 3 and 8,321,065.6667 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 24,963,197
-1 -24,963,197

Let's try dividing by 4:

24,963,197 ÷ 4 = 6,240,799.25

If the quotient is a whole number, then 4 and 6,240,799.25 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 24,963,197
-1 24,963,197
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492592813431,8131,9672,40110,39712,69113,76972,77988,83796,383509,453674,6813,566,17124,963,197
-1-7-37-49-259-281-343-1,813-1,967-2,401-10,397-12,691-13,769-72,779-88,837-96,383-509,453-674,681-3,566,171-24,963,197

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