Q: What are the factor combinations of the number 29,737,097?

 A:
Positive:   1 x 2973709713 x 228746917 x 1749241221 x 134557239 x 124423563 x 528193107 x 95714063 x 7319
Negative: -1 x -29737097-13 x -2287469-17 x -1749241-221 x -134557-239 x -124423-563 x -52819-3107 x -9571-4063 x -7319


How do I find the factor combinations of the number 29,737,097?

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 29,737,097, 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 29,737,097
-1 -29,737,097

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 29,737,097.

Example:
1 x 29,737,097 = 29,737,097
and
-1 x -29,737,097 = 29,737,097
Notice both answers equal 29,737,097

With that explanation out of the way, let's continue. Next, we take the number 29,737,097 and divide it by 2:

29,737,097 ÷ 2 = 14,868,548.5

If the quotient is a whole number, then 2 and 14,868,548.5 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 29,737,097
-1 -29,737,097

Now, we try dividing 29,737,097 by 3:

29,737,097 ÷ 3 = 9,912,365.6667

If the quotient is a whole number, then 3 and 9,912,365.6667 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 29,737,097
-1 -29,737,097

Let's try dividing by 4:

29,737,097 ÷ 4 = 7,434,274.25

If the quotient is a whole number, then 4 and 7,434,274.25 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 29,737,097
-1 29,737,097
Keep dividing by the next highest number until you cannot divide anymore.

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

113172212395633,1074,0637,3199,57152,819124,423134,5571,749,2412,287,46929,737,097
-1-13-17-221-239-563-3,107-4,063-7,319-9,571-52,819-124,423-134,557-1,749,241-2,287,469-29,737,097

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