Q: What are the factor combinations of the number 60,706,373?

 A:
Positive:   1 x 607063737 x 867233913 x 466972191 x 667103
Negative: -1 x -60706373-7 x -8672339-13 x -4669721-91 x -667103


How do I find the factor combinations of the number 60,706,373?

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 60,706,373, 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 60,706,373
-1 -60,706,373

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 60,706,373.

Example:
1 x 60,706,373 = 60,706,373
and
-1 x -60,706,373 = 60,706,373
Notice both answers equal 60,706,373

With that explanation out of the way, let's continue. Next, we take the number 60,706,373 and divide it by 2:

60,706,373 ÷ 2 = 30,353,186.5

If the quotient is a whole number, then 2 and 30,353,186.5 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 60,706,373
-1 -60,706,373

Now, we try dividing 60,706,373 by 3:

60,706,373 ÷ 3 = 20,235,457.6667

If the quotient is a whole number, then 3 and 20,235,457.6667 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 60,706,373
-1 -60,706,373

Let's try dividing by 4:

60,706,373 ÷ 4 = 15,176,593.25

If the quotient is a whole number, then 4 and 15,176,593.25 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 60,706,373
-1 60,706,373
Keep dividing by the next highest number until you cannot divide anymore.

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

171391667,1034,669,7218,672,33960,706,373
-1-7-13-91-667,103-4,669,721-8,672,339-60,706,373

More Examples

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