Q: What are the factor combinations of the number 62,342,773?

 A:
Positive:   1 x 6234277397 x 642709163 x 3824713943 x 15811
Negative: -1 x -62342773-97 x -642709-163 x -382471-3943 x -15811


How do I find the factor combinations of the number 62,342,773?

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 62,342,773, 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 62,342,773
-1 -62,342,773

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 62,342,773.

Example:
1 x 62,342,773 = 62,342,773
and
-1 x -62,342,773 = 62,342,773
Notice both answers equal 62,342,773

With that explanation out of the way, let's continue. Next, we take the number 62,342,773 and divide it by 2:

62,342,773 ÷ 2 = 31,171,386.5

If the quotient is a whole number, then 2 and 31,171,386.5 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 62,342,773
-1 -62,342,773

Now, we try dividing 62,342,773 by 3:

62,342,773 ÷ 3 = 20,780,924.3333

If the quotient is a whole number, then 3 and 20,780,924.3333 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 62,342,773
-1 -62,342,773

Let's try dividing by 4:

62,342,773 ÷ 4 = 15,585,693.25

If the quotient is a whole number, then 4 and 15,585,693.25 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 62,342,773
-1 62,342,773
Keep dividing by the next highest number until you cannot divide anymore.

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

1971633,94315,811382,471642,70962,342,773
-1-97-163-3,943-15,811-382,471-642,709-62,342,773

More Examples

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