Q: What are the factor combinations of the number 32,060,429?

 A:
Positive:   1 x 3206042919 x 1687391317 x 1011375323 x 6023
Negative: -1 x -32060429-19 x -1687391-317 x -101137-5323 x -6023


How do I find the factor combinations of the number 32,060,429?

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 32,060,429, 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 32,060,429
-1 -32,060,429

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 32,060,429.

Example:
1 x 32,060,429 = 32,060,429
and
-1 x -32,060,429 = 32,060,429
Notice both answers equal 32,060,429

With that explanation out of the way, let's continue. Next, we take the number 32,060,429 and divide it by 2:

32,060,429 ÷ 2 = 16,030,214.5

If the quotient is a whole number, then 2 and 16,030,214.5 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 32,060,429
-1 -32,060,429

Now, we try dividing 32,060,429 by 3:

32,060,429 ÷ 3 = 10,686,809.6667

If the quotient is a whole number, then 3 and 10,686,809.6667 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 32,060,429
-1 -32,060,429

Let's try dividing by 4:

32,060,429 ÷ 4 = 8,015,107.25

If the quotient is a whole number, then 4 and 8,015,107.25 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 32,060,429
-1 32,060,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1193175,3236,023101,1371,687,39132,060,429
-1-19-317-5,323-6,023-101,137-1,687,391-32,060,429

More Examples

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