Q: What are the factor combinations of the number 8,442,451?

 A:
Positive:   1 x 844245129 x 29111989 x 948592581 x 3271
Negative: -1 x -8442451-29 x -291119-89 x -94859-2581 x -3271


How do I find the factor combinations of the number 8,442,451?

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 8,442,451, 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 8,442,451
-1 -8,442,451

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 8,442,451.

Example:
1 x 8,442,451 = 8,442,451
and
-1 x -8,442,451 = 8,442,451
Notice both answers equal 8,442,451

With that explanation out of the way, let's continue. Next, we take the number 8,442,451 and divide it by 2:

8,442,451 ÷ 2 = 4,221,225.5

If the quotient is a whole number, then 2 and 4,221,225.5 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 8,442,451
-1 -8,442,451

Now, we try dividing 8,442,451 by 3:

8,442,451 ÷ 3 = 2,814,150.3333

If the quotient is a whole number, then 3 and 2,814,150.3333 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 8,442,451
-1 -8,442,451

Let's try dividing by 4:

8,442,451 ÷ 4 = 2,110,612.75

If the quotient is a whole number, then 4 and 2,110,612.75 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 8,442,451
-1 8,442,451
Keep dividing by the next highest number until you cannot divide anymore.

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

129892,5813,27194,859291,1198,442,451
-1-29-89-2,581-3,271-94,859-291,119-8,442,451

More Examples

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