Q: What are the factor combinations of the number 84,048,637?

 A:
Positive:   1 x 84048637
Negative: -1 x -84048637


How do I find the factor combinations of the number 84,048,637?

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 84,048,637, 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 84,048,637
-1 -84,048,637

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 84,048,637.

Example:
1 x 84,048,637 = 84,048,637
and
-1 x -84,048,637 = 84,048,637
Notice both answers equal 84,048,637

With that explanation out of the way, let's continue. Next, we take the number 84,048,637 and divide it by 2:

84,048,637 ÷ 2 = 42,024,318.5

If the quotient is a whole number, then 2 and 42,024,318.5 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 84,048,637
-1 -84,048,637

Now, we try dividing 84,048,637 by 3:

84,048,637 ÷ 3 = 28,016,212.3333

If the quotient is a whole number, then 3 and 28,016,212.3333 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 84,048,637
-1 -84,048,637

Let's try dividing by 4:

84,048,637 ÷ 4 = 21,012,159.25

If the quotient is a whole number, then 4 and 21,012,159.25 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 84,048,637
-1 84,048,637
Keep dividing by the next highest number until you cannot divide anymore.

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

184,048,637
-1-84,048,637

More Examples

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