Q: What are the factor combinations of the number 72,598,015?

 A:
Positive:   1 x 725980155 x 145196037 x 1037114535 x 2074229149 x 487235745 x 974471043 x 696055215 x 13921
Negative: -1 x -72598015-5 x -14519603-7 x -10371145-35 x -2074229-149 x -487235-745 x -97447-1043 x -69605-5215 x -13921


How do I find the factor combinations of the number 72,598,015?

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 72,598,015, 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 72,598,015
-1 -72,598,015

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 72,598,015.

Example:
1 x 72,598,015 = 72,598,015
and
-1 x -72,598,015 = 72,598,015
Notice both answers equal 72,598,015

With that explanation out of the way, let's continue. Next, we take the number 72,598,015 and divide it by 2:

72,598,015 ÷ 2 = 36,299,007.5

If the quotient is a whole number, then 2 and 36,299,007.5 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 72,598,015
-1 -72,598,015

Now, we try dividing 72,598,015 by 3:

72,598,015 ÷ 3 = 24,199,338.3333

If the quotient is a whole number, then 3 and 24,199,338.3333 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 72,598,015
-1 -72,598,015

Let's try dividing by 4:

72,598,015 ÷ 4 = 18,149,503.75

If the quotient is a whole number, then 4 and 18,149,503.75 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 72,598,015
-1 72,598,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0435,21513,92169,60597,447487,2352,074,22910,371,14514,519,60372,598,015
-1-5-7-35-149-745-1,043-5,215-13,921-69,605-97,447-487,235-2,074,229-10,371,145-14,519,603-72,598,015

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