Q: What are the factor combinations of the number 84,443,429?

 A:
Positive:   1 x 844434297 x 1206334719 x 4444391133 x 634913179 x 4717511253 x 673933401 x 248293547 x 23807
Negative: -1 x -84443429-7 x -12063347-19 x -4444391-133 x -634913-179 x -471751-1253 x -67393-3401 x -24829-3547 x -23807


How do I find the factor combinations of the number 84,443,429?

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 84,443,429, 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 84,443,429
-1 -84,443,429

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 84,443,429.

Example:
1 x 84,443,429 = 84,443,429
and
-1 x -84,443,429 = 84,443,429
Notice both answers equal 84,443,429

With that explanation out of the way, let's continue. Next, we take the number 84,443,429 and divide it by 2:

84,443,429 ÷ 2 = 42,221,714.5

If the quotient is a whole number, then 2 and 42,221,714.5 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 84,443,429
-1 -84,443,429

Now, we try dividing 84,443,429 by 3:

84,443,429 ÷ 3 = 28,147,809.6667

If the quotient is a whole number, then 3 and 28,147,809.6667 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 84,443,429
-1 -84,443,429

Let's try dividing by 4:

84,443,429 ÷ 4 = 21,110,857.25

If the quotient is a whole number, then 4 and 21,110,857.25 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 84,443,429
-1 84,443,429
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331791,2533,4013,54723,80724,82967,393471,751634,9134,444,39112,063,34784,443,429
-1-7-19-133-179-1,253-3,401-3,547-23,807-24,829-67,393-471,751-634,913-4,444,391-12,063,347-84,443,429

More Examples

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