Q: What are the factor combinations of the number 29,136,725?

 A:
Positive:   1 x 291367255 x 582734517 x 171392525 x 116546985 x 342785179 x 162775383 x 76075425 x 68557895 x 325551915 x 152153043 x 95754475 x 6511
Negative: -1 x -29136725-5 x -5827345-17 x -1713925-25 x -1165469-85 x -342785-179 x -162775-383 x -76075-425 x -68557-895 x -32555-1915 x -15215-3043 x -9575-4475 x -6511


How do I find the factor combinations of the number 29,136,725?

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 29,136,725, 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 29,136,725
-1 -29,136,725

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 29,136,725.

Example:
1 x 29,136,725 = 29,136,725
and
-1 x -29,136,725 = 29,136,725
Notice both answers equal 29,136,725

With that explanation out of the way, let's continue. Next, we take the number 29,136,725 and divide it by 2:

29,136,725 ÷ 2 = 14,568,362.5

If the quotient is a whole number, then 2 and 14,568,362.5 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 29,136,725
-1 -29,136,725

Now, we try dividing 29,136,725 by 3:

29,136,725 ÷ 3 = 9,712,241.6667

If the quotient is a whole number, then 3 and 9,712,241.6667 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 29,136,725
-1 -29,136,725

Let's try dividing by 4:

29,136,725 ÷ 4 = 7,284,181.25

If the quotient is a whole number, then 4 and 7,284,181.25 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 29,136,725
-1 29,136,725
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851793834258951,9153,0434,4756,5119,57515,21532,55568,55776,075162,775342,7851,165,4691,713,9255,827,34529,136,725
-1-5-17-25-85-179-383-425-895-1,915-3,043-4,475-6,511-9,575-15,215-32,555-68,557-76,075-162,775-342,785-1,165,469-1,713,925-5,827,345-29,136,725

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