Q: What are the factor combinations of the number 15,250,625?

 A:
Positive:   1 x 152506255 x 305012513 x 117312525 x 61002565 x 234625125 x 122005325 x 46925625 x 244011625 x 93851877 x 8125
Negative: -1 x -15250625-5 x -3050125-13 x -1173125-25 x -610025-65 x -234625-125 x -122005-325 x -46925-625 x -24401-1625 x -9385-1877 x -8125


How do I find the factor combinations of the number 15,250,625?

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 15,250,625, 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 15,250,625
-1 -15,250,625

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 15,250,625.

Example:
1 x 15,250,625 = 15,250,625
and
-1 x -15,250,625 = 15,250,625
Notice both answers equal 15,250,625

With that explanation out of the way, let's continue. Next, we take the number 15,250,625 and divide it by 2:

15,250,625 ÷ 2 = 7,625,312.5

If the quotient is a whole number, then 2 and 7,625,312.5 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 15,250,625
-1 -15,250,625

Now, we try dividing 15,250,625 by 3:

15,250,625 ÷ 3 = 5,083,541.6667

If the quotient is a whole number, then 3 and 5,083,541.6667 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 15,250,625
-1 -15,250,625

Let's try dividing by 4:

15,250,625 ÷ 4 = 3,812,656.25

If the quotient is a whole number, then 4 and 3,812,656.25 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 15,250,625
-1 15,250,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253256251,6251,8778,1259,38524,40146,925122,005234,625610,0251,173,1253,050,12515,250,625
-1-5-13-25-65-125-325-625-1,625-1,877-8,125-9,385-24,401-46,925-122,005-234,625-610,025-1,173,125-3,050,125-15,250,625

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