Q: What are the factor combinations of the number 29,004,745?

 A:
Positive:   1 x 290047455 x 58009497 x 414353511 x 263679535 x 82870755 x 52735977 x 376685385 x 75337
Negative: -1 x -29004745-5 x -5800949-7 x -4143535-11 x -2636795-35 x -828707-55 x -527359-77 x -376685-385 x -75337


How do I find the factor combinations of the number 29,004,745?

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 29,004,745, 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 29,004,745
-1 -29,004,745

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 29,004,745.

Example:
1 x 29,004,745 = 29,004,745
and
-1 x -29,004,745 = 29,004,745
Notice both answers equal 29,004,745

With that explanation out of the way, let's continue. Next, we take the number 29,004,745 and divide it by 2:

29,004,745 ÷ 2 = 14,502,372.5

If the quotient is a whole number, then 2 and 14,502,372.5 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 29,004,745
-1 -29,004,745

Now, we try dividing 29,004,745 by 3:

29,004,745 ÷ 3 = 9,668,248.3333

If the quotient is a whole number, then 3 and 9,668,248.3333 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 29,004,745
-1 -29,004,745

Let's try dividing by 4:

29,004,745 ÷ 4 = 7,251,186.25

If the quotient is a whole number, then 4 and 7,251,186.25 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 29,004,745
-1 29,004,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738575,337376,685527,359828,7072,636,7954,143,5355,800,94929,004,745
-1-5-7-11-35-55-77-385-75,337-376,685-527,359-828,707-2,636,795-4,143,535-5,800,949-29,004,745

More Examples

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