Q: What are the factor combinations of the number 60,718,025?

 A:
Positive:   1 x 607180255 x 1214360525 x 242872129 x 209372589 x 682225145 x 418745445 x 136445725 x 83749941 x 645252225 x 272892581 x 235254705 x 12905
Negative: -1 x -60718025-5 x -12143605-25 x -2428721-29 x -2093725-89 x -682225-145 x -418745-445 x -136445-725 x -83749-941 x -64525-2225 x -27289-2581 x -23525-4705 x -12905


How do I find the factor combinations of the number 60,718,025?

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 60,718,025, 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 60,718,025
-1 -60,718,025

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 60,718,025.

Example:
1 x 60,718,025 = 60,718,025
and
-1 x -60,718,025 = 60,718,025
Notice both answers equal 60,718,025

With that explanation out of the way, let's continue. Next, we take the number 60,718,025 and divide it by 2:

60,718,025 ÷ 2 = 30,359,012.5

If the quotient is a whole number, then 2 and 30,359,012.5 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 60,718,025
-1 -60,718,025

Now, we try dividing 60,718,025 by 3:

60,718,025 ÷ 3 = 20,239,341.6667

If the quotient is a whole number, then 3 and 20,239,341.6667 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 60,718,025
-1 -60,718,025

Let's try dividing by 4:

60,718,025 ÷ 4 = 15,179,506.25

If the quotient is a whole number, then 4 and 15,179,506.25 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 60,718,025
-1 60,718,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152529891454457259412,2252,5814,70512,90523,52527,28964,52583,749136,445418,745682,2252,093,7252,428,72112,143,60560,718,025
-1-5-25-29-89-145-445-725-941-2,225-2,581-4,705-12,905-23,525-27,289-64,525-83,749-136,445-418,745-682,225-2,093,725-2,428,721-12,143,605-60,718,025

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