Q: What are the factor combinations of the number 62,423,023?

 A:
Positive:   1 x 6242302313 x 4801771169 x 369367431 x 144833857 x 728395603 x 11141
Negative: -1 x -62423023-13 x -4801771-169 x -369367-431 x -144833-857 x -72839-5603 x -11141


How do I find the factor combinations of the number 62,423,023?

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 62,423,023, 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 62,423,023
-1 -62,423,023

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 62,423,023.

Example:
1 x 62,423,023 = 62,423,023
and
-1 x -62,423,023 = 62,423,023
Notice both answers equal 62,423,023

With that explanation out of the way, let's continue. Next, we take the number 62,423,023 and divide it by 2:

62,423,023 ÷ 2 = 31,211,511.5

If the quotient is a whole number, then 2 and 31,211,511.5 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 62,423,023
-1 -62,423,023

Now, we try dividing 62,423,023 by 3:

62,423,023 ÷ 3 = 20,807,674.3333

If the quotient is a whole number, then 3 and 20,807,674.3333 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 62,423,023
-1 -62,423,023

Let's try dividing by 4:

62,423,023 ÷ 4 = 15,605,755.75

If the quotient is a whole number, then 4 and 15,605,755.75 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 62,423,023
-1 62,423,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1131694318575,60311,14172,839144,833369,3674,801,77162,423,023
-1-13-169-431-857-5,603-11,141-72,839-144,833-369,367-4,801,771-62,423,023

More Examples

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