Q: What are the factor combinations of the number 62,637,673?

 A:
Positive:   1 x 626376737 x 894823917 x 3684569119 x 526367
Negative: -1 x -62637673-7 x -8948239-17 x -3684569-119 x -526367


How do I find the factor combinations of the number 62,637,673?

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 62,637,673, 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 62,637,673
-1 -62,637,673

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 62,637,673.

Example:
1 x 62,637,673 = 62,637,673
and
-1 x -62,637,673 = 62,637,673
Notice both answers equal 62,637,673

With that explanation out of the way, let's continue. Next, we take the number 62,637,673 and divide it by 2:

62,637,673 ÷ 2 = 31,318,836.5

If the quotient is a whole number, then 2 and 31,318,836.5 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 62,637,673
-1 -62,637,673

Now, we try dividing 62,637,673 by 3:

62,637,673 ÷ 3 = 20,879,224.3333

If the quotient is a whole number, then 3 and 20,879,224.3333 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 62,637,673
-1 -62,637,673

Let's try dividing by 4:

62,637,673 ÷ 4 = 15,659,418.25

If the quotient is a whole number, then 4 and 15,659,418.25 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 62,637,673
-1 62,637,673
Keep dividing by the next highest number until you cannot divide anymore.

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

1717119526,3673,684,5698,948,23962,637,673
-1-7-17-119-526,367-3,684,569-8,948,239-62,637,673

More Examples

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