Q: What are the factor combinations of the number 245,132,015?

 A:
Positive:   1 x 2451320155 x 4902640319 x 1290168595 x 2580337
Negative: -1 x -245132015-5 x -49026403-19 x -12901685-95 x -2580337


How do I find the factor combinations of the number 245,132,015?

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 245,132,015, 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.

1 245,132,015
-1 -245,132,015

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 245,132,015.

Example:
1 x 245,132,015 = 245,132,015
and
-1 x -245,132,015 = 245,132,015
Notice both answers equal 245,132,015

With that explanation out of the way, let's continue. Next, we take the number 245,132,015 and divide it by 2:

245,132,015 ÷ 2 = 122,566,007.5

If the quotient is a whole number, then 2 and 122,566,007.5 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:

1 245,132,015
-1 -245,132,015

Now, we try dividing 245,132,015 by 3:

245,132,015 ÷ 3 = 81,710,671.6667

If the quotient is a whole number, then 3 and 81,710,671.6667 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:

1 245,132,015
-1 -245,132,015

Let's try dividing by 4:

245,132,015 ÷ 4 = 61,283,003.75

If the quotient is a whole number, then 4 and 61,283,003.75 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:

1 245,132,015
-1 245,132,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952,580,33712,901,68549,026,403245,132,015
-1-5-19-95-2,580,337-12,901,685-49,026,403-245,132,015

More Examples

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