Q: What are the factor combinations of the number 72,058,495?

 A:
Positive:   1 x 720584955 x 1441169917 x 423873585 x 847747541 x 1331951567 x 459852705 x 266397835 x 9197
Negative: -1 x -72058495-5 x -14411699-17 x -4238735-85 x -847747-541 x -133195-1567 x -45985-2705 x -26639-7835 x -9197


How do I find the factor combinations of the number 72,058,495?

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 72,058,495, 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 72,058,495
-1 -72,058,495

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 72,058,495.

Example:
1 x 72,058,495 = 72,058,495
and
-1 x -72,058,495 = 72,058,495
Notice both answers equal 72,058,495

With that explanation out of the way, let's continue. Next, we take the number 72,058,495 and divide it by 2:

72,058,495 ÷ 2 = 36,029,247.5

If the quotient is a whole number, then 2 and 36,029,247.5 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 72,058,495
-1 -72,058,495

Now, we try dividing 72,058,495 by 3:

72,058,495 ÷ 3 = 24,019,498.3333

If the quotient is a whole number, then 3 and 24,019,498.3333 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 72,058,495
-1 -72,058,495

Let's try dividing by 4:

72,058,495 ÷ 4 = 18,014,623.75

If the quotient is a whole number, then 4 and 18,014,623.75 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 72,058,495
-1 72,058,495
Keep dividing by the next highest number until you cannot divide anymore.

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

1517855411,5672,7057,8359,19726,63945,985133,195847,7474,238,73514,411,69972,058,495
-1-5-17-85-541-1,567-2,705-7,835-9,197-26,639-45,985-133,195-847,747-4,238,735-14,411,699-72,058,495

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