Q: What are the factor combinations of the number 15,270,125?

 A:
Positive:   1 x 152701255 x 305402513 x 117462525 x 61080565 x 234925125 x 122161325 x 469851625 x 9397
Negative: -1 x -15270125-5 x -3054025-13 x -1174625-25 x -610805-65 x -234925-125 x -122161-325 x -46985-1625 x -9397


How do I find the factor combinations of the number 15,270,125?

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 15,270,125, 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 15,270,125
-1 -15,270,125

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 15,270,125.

Example:
1 x 15,270,125 = 15,270,125
and
-1 x -15,270,125 = 15,270,125
Notice both answers equal 15,270,125

With that explanation out of the way, let's continue. Next, we take the number 15,270,125 and divide it by 2:

15,270,125 ÷ 2 = 7,635,062.5

If the quotient is a whole number, then 2 and 7,635,062.5 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 15,270,125
-1 -15,270,125

Now, we try dividing 15,270,125 by 3:

15,270,125 ÷ 3 = 5,090,041.6667

If the quotient is a whole number, then 3 and 5,090,041.6667 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 15,270,125
-1 -15,270,125

Let's try dividing by 4:

15,270,125 ÷ 4 = 3,817,531.25

If the quotient is a whole number, then 4 and 3,817,531.25 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 15,270,125
-1 15,270,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6259,39746,985122,161234,925610,8051,174,6253,054,02515,270,125
-1-5-13-25-65-125-325-1,625-9,397-46,985-122,161-234,925-610,805-1,174,625-3,054,025-15,270,125

More Examples

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