Q: What are the factor combinations of the number 28,739,029?

 A:
Positive:   1 x 2873902911 x 261263923 x 124952329 x 991001253 x 113593319 x 90091667 x 430873917 x 7337
Negative: -1 x -28739029-11 x -2612639-23 x -1249523-29 x -991001-253 x -113593-319 x -90091-667 x -43087-3917 x -7337


How do I find the factor combinations of the number 28,739,029?

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 28,739,029, 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 28,739,029
-1 -28,739,029

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 28,739,029.

Example:
1 x 28,739,029 = 28,739,029
and
-1 x -28,739,029 = 28,739,029
Notice both answers equal 28,739,029

With that explanation out of the way, let's continue. Next, we take the number 28,739,029 and divide it by 2:

28,739,029 ÷ 2 = 14,369,514.5

If the quotient is a whole number, then 2 and 14,369,514.5 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 28,739,029
-1 -28,739,029

Now, we try dividing 28,739,029 by 3:

28,739,029 ÷ 3 = 9,579,676.3333

If the quotient is a whole number, then 3 and 9,579,676.3333 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 28,739,029
-1 -28,739,029

Let's try dividing by 4:

28,739,029 ÷ 4 = 7,184,757.25

If the quotient is a whole number, then 4 and 7,184,757.25 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 28,739,029
-1 28,739,029
Keep dividing by the next highest number until you cannot divide anymore.

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

11123292533196673,9177,33743,08790,091113,593991,0011,249,5232,612,63928,739,029
-1-11-23-29-253-319-667-3,917-7,337-43,087-90,091-113,593-991,001-1,249,523-2,612,639-28,739,029

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