Q: What are the factor combinations of the number 60,706,007?

 A:
Positive:   1 x 6070600719 x 31950531427 x 425412239 x 27113
Negative: -1 x -60706007-19 x -3195053-1427 x -42541-2239 x -27113


How do I find the factor combinations of the number 60,706,007?

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 60,706,007, 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 60,706,007
-1 -60,706,007

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 60,706,007.

Example:
1 x 60,706,007 = 60,706,007
and
-1 x -60,706,007 = 60,706,007
Notice both answers equal 60,706,007

With that explanation out of the way, let's continue. Next, we take the number 60,706,007 and divide it by 2:

60,706,007 ÷ 2 = 30,353,003.5

If the quotient is a whole number, then 2 and 30,353,003.5 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 60,706,007
-1 -60,706,007

Now, we try dividing 60,706,007 by 3:

60,706,007 ÷ 3 = 20,235,335.6667

If the quotient is a whole number, then 3 and 20,235,335.6667 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 60,706,007
-1 -60,706,007

Let's try dividing by 4:

60,706,007 ÷ 4 = 15,176,501.75

If the quotient is a whole number, then 4 and 15,176,501.75 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 60,706,007
-1 60,706,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,4272,23927,11342,5413,195,05360,706,007
-1-19-1,427-2,239-27,113-42,541-3,195,053-60,706,007

More Examples

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