Q: What are the factor combinations of the number 72,041,641?

 A:
Positive:   1 x 720416417 x 1029166343 x 167538771 x 1014671301 x 239341497 x 1449533053 x 235973371 x 21371
Negative: -1 x -72041641-7 x -10291663-43 x -1675387-71 x -1014671-301 x -239341-497 x -144953-3053 x -23597-3371 x -21371


How do I find the factor combinations of the number 72,041,641?

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 72,041,641, 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 72,041,641
-1 -72,041,641

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 72,041,641.

Example:
1 x 72,041,641 = 72,041,641
and
-1 x -72,041,641 = 72,041,641
Notice both answers equal 72,041,641

With that explanation out of the way, let's continue. Next, we take the number 72,041,641 and divide it by 2:

72,041,641 ÷ 2 = 36,020,820.5

If the quotient is a whole number, then 2 and 36,020,820.5 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 72,041,641
-1 -72,041,641

Now, we try dividing 72,041,641 by 3:

72,041,641 ÷ 3 = 24,013,880.3333

If the quotient is a whole number, then 3 and 24,013,880.3333 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 72,041,641
-1 -72,041,641

Let's try dividing by 4:

72,041,641 ÷ 4 = 18,010,410.25

If the quotient is a whole number, then 4 and 18,010,410.25 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 72,041,641
-1 72,041,641
Keep dividing by the next highest number until you cannot divide anymore.

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

1743713014973,0533,37121,37123,597144,953239,3411,014,6711,675,38710,291,66372,041,641
-1-7-43-71-301-497-3,053-3,371-21,371-23,597-144,953-239,341-1,014,671-1,675,387-10,291,663-72,041,641

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