Q: What are the factor combinations of the number 60,214,775?

 A:
Positive:   1 x 602147755 x 1204295525 x 2408591443 x 1359252215 x 271855437 x 11075
Negative: -1 x -60214775-5 x -12042955-25 x -2408591-443 x -135925-2215 x -27185-5437 x -11075


How do I find the factor combinations of the number 60,214,775?

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 60,214,775, 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 60,214,775
-1 -60,214,775

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 60,214,775.

Example:
1 x 60,214,775 = 60,214,775
and
-1 x -60,214,775 = 60,214,775
Notice both answers equal 60,214,775

With that explanation out of the way, let's continue. Next, we take the number 60,214,775 and divide it by 2:

60,214,775 ÷ 2 = 30,107,387.5

If the quotient is a whole number, then 2 and 30,107,387.5 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 60,214,775
-1 -60,214,775

Now, we try dividing 60,214,775 by 3:

60,214,775 ÷ 3 = 20,071,591.6667

If the quotient is a whole number, then 3 and 20,071,591.6667 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 60,214,775
-1 -60,214,775

Let's try dividing by 4:

60,214,775 ÷ 4 = 15,053,693.75

If the quotient is a whole number, then 4 and 15,053,693.75 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 60,214,775
-1 60,214,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15254432,2155,43711,07527,185135,9252,408,59112,042,95560,214,775
-1-5-25-443-2,215-5,437-11,075-27,185-135,925-2,408,591-12,042,955-60,214,775

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