Q: What are the factor combinations of the number 24,462,295?

 A:
Positive:   1 x 244622955 x 489245911 x 222384513 x 188171555 x 44476965 x 376343143 x 171065715 x 34213
Negative: -1 x -24462295-5 x -4892459-11 x -2223845-13 x -1881715-55 x -444769-65 x -376343-143 x -171065-715 x -34213


How do I find the factor combinations of the number 24,462,295?

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 24,462,295, 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 24,462,295
-1 -24,462,295

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 24,462,295.

Example:
1 x 24,462,295 = 24,462,295
and
-1 x -24,462,295 = 24,462,295
Notice both answers equal 24,462,295

With that explanation out of the way, let's continue. Next, we take the number 24,462,295 and divide it by 2:

24,462,295 ÷ 2 = 12,231,147.5

If the quotient is a whole number, then 2 and 12,231,147.5 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 24,462,295
-1 -24,462,295

Now, we try dividing 24,462,295 by 3:

24,462,295 ÷ 3 = 8,154,098.3333

If the quotient is a whole number, then 3 and 8,154,098.3333 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 24,462,295
-1 -24,462,295

Let's try dividing by 4:

24,462,295 ÷ 4 = 6,115,573.75

If the quotient is a whole number, then 4 and 6,115,573.75 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 24,462,295
-1 24,462,295
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371534,213171,065376,343444,7691,881,7152,223,8454,892,45924,462,295
-1-5-11-13-55-65-143-715-34,213-171,065-376,343-444,769-1,881,715-2,223,845-4,892,459-24,462,295

More Examples

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