Q: What are the factor combinations of the number 33,469,429?

 A:
Positive:   1 x 334694297 x 478134731 x 107965989 x 376061217 x 154237623 x 537231733 x 193132759 x 12131
Negative: -1 x -33469429-7 x -4781347-31 x -1079659-89 x -376061-217 x -154237-623 x -53723-1733 x -19313-2759 x -12131


How do I find the factor combinations of the number 33,469,429?

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 33,469,429, 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 33,469,429
-1 -33,469,429

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 33,469,429.

Example:
1 x 33,469,429 = 33,469,429
and
-1 x -33,469,429 = 33,469,429
Notice both answers equal 33,469,429

With that explanation out of the way, let's continue. Next, we take the number 33,469,429 and divide it by 2:

33,469,429 ÷ 2 = 16,734,714.5

If the quotient is a whole number, then 2 and 16,734,714.5 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 33,469,429
-1 -33,469,429

Now, we try dividing 33,469,429 by 3:

33,469,429 ÷ 3 = 11,156,476.3333

If the quotient is a whole number, then 3 and 11,156,476.3333 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 33,469,429
-1 -33,469,429

Let's try dividing by 4:

33,469,429 ÷ 4 = 8,367,357.25

If the quotient is a whole number, then 4 and 8,367,357.25 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 33,469,429
-1 33,469,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1731892176231,7332,75912,13119,31353,723154,237376,0611,079,6594,781,34733,469,429
-1-7-31-89-217-623-1,733-2,759-12,131-19,313-53,723-154,237-376,061-1,079,659-4,781,347-33,469,429

More Examples

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