Q: What are the factor combinations of the number 15,314,125?

 A:
Positive:   1 x 153141255 x 306282525 x 612565101 x 151625125 x 122513505 x 303251213 x 126252525 x 6065
Negative: -1 x -15314125-5 x -3062825-25 x -612565-101 x -151625-125 x -122513-505 x -30325-1213 x -12625-2525 x -6065


How do I find the factor combinations of the number 15,314,125?

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 15,314,125, 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 15,314,125
-1 -15,314,125

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 15,314,125.

Example:
1 x 15,314,125 = 15,314,125
and
-1 x -15,314,125 = 15,314,125
Notice both answers equal 15,314,125

With that explanation out of the way, let's continue. Next, we take the number 15,314,125 and divide it by 2:

15,314,125 ÷ 2 = 7,657,062.5

If the quotient is a whole number, then 2 and 7,657,062.5 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 15,314,125
-1 -15,314,125

Now, we try dividing 15,314,125 by 3:

15,314,125 ÷ 3 = 5,104,708.3333

If the quotient is a whole number, then 3 and 5,104,708.3333 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 15,314,125
-1 -15,314,125

Let's try dividing by 4:

15,314,125 ÷ 4 = 3,828,531.25

If the quotient is a whole number, then 4 and 3,828,531.25 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 15,314,125
-1 15,314,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251011255051,2132,5256,06512,62530,325122,513151,625612,5653,062,82515,314,125
-1-5-25-101-125-505-1,213-2,525-6,065-12,625-30,325-122,513-151,625-612,565-3,062,825-15,314,125

More Examples

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