Q: What are the factor combinations of the number 72,822,635?

 A:
Positive:   1 x 728226355 x 1456452767 x 1086905181 x 402335335 x 217381905 x 804671201 x 606356005 x 12127
Negative: -1 x -72822635-5 x -14564527-67 x -1086905-181 x -402335-335 x -217381-905 x -80467-1201 x -60635-6005 x -12127


How do I find the factor combinations of the number 72,822,635?

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 72,822,635, 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 72,822,635
-1 -72,822,635

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 72,822,635.

Example:
1 x 72,822,635 = 72,822,635
and
-1 x -72,822,635 = 72,822,635
Notice both answers equal 72,822,635

With that explanation out of the way, let's continue. Next, we take the number 72,822,635 and divide it by 2:

72,822,635 ÷ 2 = 36,411,317.5

If the quotient is a whole number, then 2 and 36,411,317.5 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 72,822,635
-1 -72,822,635

Now, we try dividing 72,822,635 by 3:

72,822,635 ÷ 3 = 24,274,211.6667

If the quotient is a whole number, then 3 and 24,274,211.6667 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 72,822,635
-1 -72,822,635

Let's try dividing by 4:

72,822,635 ÷ 4 = 18,205,658.75

If the quotient is a whole number, then 4 and 18,205,658.75 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 72,822,635
-1 72,822,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15671813359051,2016,00512,12760,63580,467217,381402,3351,086,90514,564,52772,822,635
-1-5-67-181-335-905-1,201-6,005-12,127-60,635-80,467-217,381-402,335-1,086,905-14,564,527-72,822,635

More Examples

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