Q: What are the factor combinations of the number 62,672,779?

 A:
Positive:   1 x 6267277913 x 4820983
Negative: -1 x -62672779-13 x -4820983


How do I find the factor combinations of the number 62,672,779?

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 62,672,779, 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 62,672,779
-1 -62,672,779

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 62,672,779.

Example:
1 x 62,672,779 = 62,672,779
and
-1 x -62,672,779 = 62,672,779
Notice both answers equal 62,672,779

With that explanation out of the way, let's continue. Next, we take the number 62,672,779 and divide it by 2:

62,672,779 ÷ 2 = 31,336,389.5

If the quotient is a whole number, then 2 and 31,336,389.5 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 62,672,779
-1 -62,672,779

Now, we try dividing 62,672,779 by 3:

62,672,779 ÷ 3 = 20,890,926.3333

If the quotient is a whole number, then 3 and 20,890,926.3333 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 62,672,779
-1 -62,672,779

Let's try dividing by 4:

62,672,779 ÷ 4 = 15,668,194.75

If the quotient is a whole number, then 4 and 15,668,194.75 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 62,672,779
-1 62,672,779
Keep dividing by the next highest number until you cannot divide anymore.

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

1134,820,98362,672,779
-1-13-4,820,983-62,672,779

More Examples

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