Q: What are the factor combinations of the number 62,823,709?

 A:
Positive:   1 x 6282370913 x 483259319 x 330651153 x 1185353247 x 254347689 x 911811007 x 623874799 x 13091
Negative: -1 x -62823709-13 x -4832593-19 x -3306511-53 x -1185353-247 x -254347-689 x -91181-1007 x -62387-4799 x -13091


How do I find the factor combinations of the number 62,823,709?

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 62,823,709, 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 62,823,709
-1 -62,823,709

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 62,823,709.

Example:
1 x 62,823,709 = 62,823,709
and
-1 x -62,823,709 = 62,823,709
Notice both answers equal 62,823,709

With that explanation out of the way, let's continue. Next, we take the number 62,823,709 and divide it by 2:

62,823,709 ÷ 2 = 31,411,854.5

If the quotient is a whole number, then 2 and 31,411,854.5 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 62,823,709
-1 -62,823,709

Now, we try dividing 62,823,709 by 3:

62,823,709 ÷ 3 = 20,941,236.3333

If the quotient is a whole number, then 3 and 20,941,236.3333 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 62,823,709
-1 -62,823,709

Let's try dividing by 4:

62,823,709 ÷ 4 = 15,705,927.25

If the quotient is a whole number, then 4 and 15,705,927.25 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 62,823,709
-1 62,823,709
Keep dividing by the next highest number until you cannot divide anymore.

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

11319532476891,0074,79913,09162,38791,181254,3471,185,3533,306,5114,832,59362,823,709
-1-13-19-53-247-689-1,007-4,799-13,091-62,387-91,181-254,347-1,185,353-3,306,511-4,832,593-62,823,709

More Examples

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