Q: What are the factor combinations of the number 72,341,665?

 A:
Positive:   1 x 723416655 x 1446833311 x 657651555 x 1315303109 x 663685121 x 597865545 x 132737605 x 1195731097 x 659451199 x 603355485 x 131895995 x 12067
Negative: -1 x -72341665-5 x -14468333-11 x -6576515-55 x -1315303-109 x -663685-121 x -597865-545 x -132737-605 x -119573-1097 x -65945-1199 x -60335-5485 x -13189-5995 x -12067


How do I find the factor combinations of the number 72,341,665?

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 72,341,665, 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 72,341,665
-1 -72,341,665

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 72,341,665.

Example:
1 x 72,341,665 = 72,341,665
and
-1 x -72,341,665 = 72,341,665
Notice both answers equal 72,341,665

With that explanation out of the way, let's continue. Next, we take the number 72,341,665 and divide it by 2:

72,341,665 ÷ 2 = 36,170,832.5

If the quotient is a whole number, then 2 and 36,170,832.5 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 72,341,665
-1 -72,341,665

Now, we try dividing 72,341,665 by 3:

72,341,665 ÷ 3 = 24,113,888.3333

If the quotient is a whole number, then 3 and 24,113,888.3333 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 72,341,665
-1 -72,341,665

Let's try dividing by 4:

72,341,665 ÷ 4 = 18,085,416.25

If the quotient is a whole number, then 4 and 18,085,416.25 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 72,341,665
-1 72,341,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551091215456051,0971,1995,4855,99512,06713,18960,33565,945119,573132,737597,865663,6851,315,3036,576,51514,468,33372,341,665
-1-5-11-55-109-121-545-605-1,097-1,199-5,485-5,995-12,067-13,189-60,335-65,945-119,573-132,737-597,865-663,685-1,315,303-6,576,515-14,468,333-72,341,665

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