Q: What are the factor combinations of the number 60,071,215?

 A:
Positive:   1 x 600712155 x 1201424343 x 1397005215 x 279401271 x 2216651031 x 582651355 x 443335155 x 11653
Negative: -1 x -60071215-5 x -12014243-43 x -1397005-215 x -279401-271 x -221665-1031 x -58265-1355 x -44333-5155 x -11653


How do I find the factor combinations of the number 60,071,215?

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 60,071,215, 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 60,071,215
-1 -60,071,215

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 60,071,215.

Example:
1 x 60,071,215 = 60,071,215
and
-1 x -60,071,215 = 60,071,215
Notice both answers equal 60,071,215

With that explanation out of the way, let's continue. Next, we take the number 60,071,215 and divide it by 2:

60,071,215 ÷ 2 = 30,035,607.5

If the quotient is a whole number, then 2 and 30,035,607.5 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 60,071,215
-1 -60,071,215

Now, we try dividing 60,071,215 by 3:

60,071,215 ÷ 3 = 20,023,738.3333

If the quotient is a whole number, then 3 and 20,023,738.3333 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 60,071,215
-1 -60,071,215

Let's try dividing by 4:

60,071,215 ÷ 4 = 15,017,803.75

If the quotient is a whole number, then 4 and 15,017,803.75 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 60,071,215
-1 60,071,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152711,0311,3555,15511,65344,33358,265221,665279,4011,397,00512,014,24360,071,215
-1-5-43-215-271-1,031-1,355-5,155-11,653-44,333-58,265-221,665-279,401-1,397,005-12,014,243-60,071,215

More Examples

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