Q: What are the factor combinations of the number 29,256,425?

 A:
Positive:   1 x 292564255 x 585128511 x 265967525 x 117025755 x 531935191 x 153175275 x 106387557 x 52525955 x 306352101 x 139252785 x 105054775 x 6127
Negative: -1 x -29256425-5 x -5851285-11 x -2659675-25 x -1170257-55 x -531935-191 x -153175-275 x -106387-557 x -52525-955 x -30635-2101 x -13925-2785 x -10505-4775 x -6127


How do I find the factor combinations of the number 29,256,425?

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 29,256,425, 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 29,256,425
-1 -29,256,425

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 29,256,425.

Example:
1 x 29,256,425 = 29,256,425
and
-1 x -29,256,425 = 29,256,425
Notice both answers equal 29,256,425

With that explanation out of the way, let's continue. Next, we take the number 29,256,425 and divide it by 2:

29,256,425 ÷ 2 = 14,628,212.5

If the quotient is a whole number, then 2 and 14,628,212.5 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 29,256,425
-1 -29,256,425

Now, we try dividing 29,256,425 by 3:

29,256,425 ÷ 3 = 9,752,141.6667

If the quotient is a whole number, then 3 and 9,752,141.6667 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 29,256,425
-1 -29,256,425

Let's try dividing by 4:

29,256,425 ÷ 4 = 7,314,106.25

If the quotient is a whole number, then 4 and 7,314,106.25 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 29,256,425
-1 29,256,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551912755579552,1012,7854,7756,12710,50513,92530,63552,525106,387153,175531,9351,170,2572,659,6755,851,28529,256,425
-1-5-11-25-55-191-275-557-955-2,101-2,785-4,775-6,127-10,505-13,925-30,635-52,525-106,387-153,175-531,935-1,170,257-2,659,675-5,851,285-29,256,425

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