Q: What are the factor combinations of the number 26,271,725?

 A:
Positive:   1 x 262717255 x 525434525 x 105086931 x 847475109 x 241025155 x 169495311 x 84475545 x 48205775 x 338991555 x 168952725 x 96413379 x 7775
Negative: -1 x -26271725-5 x -5254345-25 x -1050869-31 x -847475-109 x -241025-155 x -169495-311 x -84475-545 x -48205-775 x -33899-1555 x -16895-2725 x -9641-3379 x -7775


How do I find the factor combinations of the number 26,271,725?

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 26,271,725, 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 26,271,725
-1 -26,271,725

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 26,271,725.

Example:
1 x 26,271,725 = 26,271,725
and
-1 x -26,271,725 = 26,271,725
Notice both answers equal 26,271,725

With that explanation out of the way, let's continue. Next, we take the number 26,271,725 and divide it by 2:

26,271,725 ÷ 2 = 13,135,862.5

If the quotient is a whole number, then 2 and 13,135,862.5 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 26,271,725
-1 -26,271,725

Now, we try dividing 26,271,725 by 3:

26,271,725 ÷ 3 = 8,757,241.6667

If the quotient is a whole number, then 3 and 8,757,241.6667 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 26,271,725
-1 -26,271,725

Let's try dividing by 4:

26,271,725 ÷ 4 = 6,567,931.25

If the quotient is a whole number, then 4 and 6,567,931.25 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 26,271,725
-1 26,271,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311091553115457751,5552,7253,3797,7759,64116,89533,89948,20584,475169,495241,025847,4751,050,8695,254,34526,271,725
-1-5-25-31-109-155-311-545-775-1,555-2,725-3,379-7,775-9,641-16,895-33,899-48,205-84,475-169,495-241,025-847,475-1,050,869-5,254,345-26,271,725

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