Q: What are the factor combinations of the number 72,000,635?

 A:
Positive:   1 x 720006355 x 144001277 x 1028580535 x 2057161271 x 2656851355 x 531371897 x 379557591 x 9485
Negative: -1 x -72000635-5 x -14400127-7 x -10285805-35 x -2057161-271 x -265685-1355 x -53137-1897 x -37955-7591 x -9485


How do I find the factor combinations of the number 72,000,635?

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 72,000,635, 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 72,000,635
-1 -72,000,635

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 72,000,635.

Example:
1 x 72,000,635 = 72,000,635
and
-1 x -72,000,635 = 72,000,635
Notice both answers equal 72,000,635

With that explanation out of the way, let's continue. Next, we take the number 72,000,635 and divide it by 2:

72,000,635 ÷ 2 = 36,000,317.5

If the quotient is a whole number, then 2 and 36,000,317.5 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 72,000,635
-1 -72,000,635

Now, we try dividing 72,000,635 by 3:

72,000,635 ÷ 3 = 24,000,211.6667

If the quotient is a whole number, then 3 and 24,000,211.6667 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 72,000,635
-1 -72,000,635

Let's try dividing by 4:

72,000,635 ÷ 4 = 18,000,158.75

If the quotient is a whole number, then 4 and 18,000,158.75 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 72,000,635
-1 72,000,635
Keep dividing by the next highest number until you cannot divide anymore.

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

157352711,3551,8977,5919,48537,95553,137265,6852,057,16110,285,80514,400,12772,000,635
-1-5-7-35-271-1,355-1,897-7,591-9,485-37,955-53,137-265,685-2,057,161-10,285,805-14,400,127-72,000,635

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