Q: What are the factor combinations of the number 8,437,429?

 A:
Positive:   1 x 84374297 x 120534711 x 76703913 x 64903377 x 10957791 x 92719143 x 590031001 x 8429
Negative: -1 x -8437429-7 x -1205347-11 x -767039-13 x -649033-77 x -109577-91 x -92719-143 x -59003-1001 x -8429


How do I find the factor combinations of the number 8,437,429?

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 8,437,429, 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 8,437,429
-1 -8,437,429

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 8,437,429.

Example:
1 x 8,437,429 = 8,437,429
and
-1 x -8,437,429 = 8,437,429
Notice both answers equal 8,437,429

With that explanation out of the way, let's continue. Next, we take the number 8,437,429 and divide it by 2:

8,437,429 ÷ 2 = 4,218,714.5

If the quotient is a whole number, then 2 and 4,218,714.5 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 8,437,429
-1 -8,437,429

Now, we try dividing 8,437,429 by 3:

8,437,429 ÷ 3 = 2,812,476.3333

If the quotient is a whole number, then 3 and 2,812,476.3333 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 8,437,429
-1 -8,437,429

Let's try dividing by 4:

8,437,429 ÷ 4 = 2,109,357.25

If the quotient is a whole number, then 4 and 2,109,357.25 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 8,437,429
-1 8,437,429
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0018,42959,00392,719109,577649,033767,0391,205,3478,437,429
-1-7-11-13-77-91-143-1,001-8,429-59,003-92,719-109,577-649,033-767,039-1,205,347-8,437,429

More Examples

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