Q: What are the factor combinations of the number 24,506,125?

 A:
Positive:   1 x 245061255 x 49012257 x 350087525 x 98024535 x 70017549 x 500125125 x 196049175 x 140035245 x 100025875 x 280071225 x 200054001 x 6125
Negative: -1 x -24506125-5 x -4901225-7 x -3500875-25 x -980245-35 x -700175-49 x -500125-125 x -196049-175 x -140035-245 x -100025-875 x -28007-1225 x -20005-4001 x -6125


How do I find the factor combinations of the number 24,506,125?

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 24,506,125, 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 24,506,125
-1 -24,506,125

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 24,506,125.

Example:
1 x 24,506,125 = 24,506,125
and
-1 x -24,506,125 = 24,506,125
Notice both answers equal 24,506,125

With that explanation out of the way, let's continue. Next, we take the number 24,506,125 and divide it by 2:

24,506,125 ÷ 2 = 12,253,062.5

If the quotient is a whole number, then 2 and 12,253,062.5 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 24,506,125
-1 -24,506,125

Now, we try dividing 24,506,125 by 3:

24,506,125 ÷ 3 = 8,168,708.3333

If the quotient is a whole number, then 3 and 8,168,708.3333 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 24,506,125
-1 -24,506,125

Let's try dividing by 4:

24,506,125 ÷ 4 = 6,126,531.25

If the quotient is a whole number, then 4 and 6,126,531.25 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 24,506,125
-1 24,506,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491251752458751,2254,0016,12520,00528,007100,025140,035196,049500,125700,175980,2453,500,8754,901,22524,506,125
-1-5-7-25-35-49-125-175-245-875-1,225-4,001-6,125-20,005-28,007-100,025-140,035-196,049-500,125-700,175-980,245-3,500,875-4,901,225-24,506,125

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