Q: What are the factor combinations of the number 24,616,325?

 A:
Positive:   1 x 246163255 x 492326523 x 107027525 x 98465331 x 794075115 x 214055155 x 158815575 x 42811713 x 34525775 x 317631381 x 178253565 x 6905
Negative: -1 x -24616325-5 x -4923265-23 x -1070275-25 x -984653-31 x -794075-115 x -214055-155 x -158815-575 x -42811-713 x -34525-775 x -31763-1381 x -17825-3565 x -6905


How do I find the factor combinations of the number 24,616,325?

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 24,616,325, 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 24,616,325
-1 -24,616,325

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 24,616,325.

Example:
1 x 24,616,325 = 24,616,325
and
-1 x -24,616,325 = 24,616,325
Notice both answers equal 24,616,325

With that explanation out of the way, let's continue. Next, we take the number 24,616,325 and divide it by 2:

24,616,325 ÷ 2 = 12,308,162.5

If the quotient is a whole number, then 2 and 12,308,162.5 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 24,616,325
-1 -24,616,325

Now, we try dividing 24,616,325 by 3:

24,616,325 ÷ 3 = 8,205,441.6667

If the quotient is a whole number, then 3 and 8,205,441.6667 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 24,616,325
-1 -24,616,325

Let's try dividing by 4:

24,616,325 ÷ 4 = 6,154,081.25

If the quotient is a whole number, then 4 and 6,154,081.25 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 24,616,325
-1 24,616,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152325311151555757137751,3813,5656,90517,82531,76334,52542,811158,815214,055794,075984,6531,070,2754,923,26524,616,325
-1-5-23-25-31-115-155-575-713-775-1,381-3,565-6,905-17,825-31,763-34,525-42,811-158,815-214,055-794,075-984,653-1,070,275-4,923,265-24,616,325

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