Q: What are the factor combinations of the number 25,145,785?

 A:
Positive:   1 x 251457855 x 50291577 x 359225523 x 109329535 x 718451115 x 218659161 x 156185805 x 31237
Negative: -1 x -25145785-5 x -5029157-7 x -3592255-23 x -1093295-35 x -718451-115 x -218659-161 x -156185-805 x -31237


How do I find the factor combinations of the number 25,145,785?

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 25,145,785, 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 25,145,785
-1 -25,145,785

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 25,145,785.

Example:
1 x 25,145,785 = 25,145,785
and
-1 x -25,145,785 = 25,145,785
Notice both answers equal 25,145,785

With that explanation out of the way, let's continue. Next, we take the number 25,145,785 and divide it by 2:

25,145,785 ÷ 2 = 12,572,892.5

If the quotient is a whole number, then 2 and 12,572,892.5 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 25,145,785
-1 -25,145,785

Now, we try dividing 25,145,785 by 3:

25,145,785 ÷ 3 = 8,381,928.3333

If the quotient is a whole number, then 3 and 8,381,928.3333 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 25,145,785
-1 -25,145,785

Let's try dividing by 4:

25,145,785 ÷ 4 = 6,286,446.25

If the quotient is a whole number, then 4 and 6,286,446.25 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 25,145,785
-1 25,145,785
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180531,237156,185218,659718,4511,093,2953,592,2555,029,15725,145,785
-1-5-7-23-35-115-161-805-31,237-156,185-218,659-718,451-1,093,295-3,592,255-5,029,157-25,145,785

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