Q: What are the factor combinations of the number 16,020,875?

 A:
Positive:   1 x 160208755 x 320417513 x 123237525 x 64083565 x 246475125 x 128167325 x 492951625 x 9859
Negative: -1 x -16020875-5 x -3204175-13 x -1232375-25 x -640835-65 x -246475-125 x -128167-325 x -49295-1625 x -9859


How do I find the factor combinations of the number 16,020,875?

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 16,020,875, 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 16,020,875
-1 -16,020,875

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 16,020,875.

Example:
1 x 16,020,875 = 16,020,875
and
-1 x -16,020,875 = 16,020,875
Notice both answers equal 16,020,875

With that explanation out of the way, let's continue. Next, we take the number 16,020,875 and divide it by 2:

16,020,875 ÷ 2 = 8,010,437.5

If the quotient is a whole number, then 2 and 8,010,437.5 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 16,020,875
-1 -16,020,875

Now, we try dividing 16,020,875 by 3:

16,020,875 ÷ 3 = 5,340,291.6667

If the quotient is a whole number, then 3 and 5,340,291.6667 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 16,020,875
-1 -16,020,875

Let's try dividing by 4:

16,020,875 ÷ 4 = 4,005,218.75

If the quotient is a whole number, then 4 and 4,005,218.75 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 16,020,875
-1 16,020,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6259,85949,295128,167246,475640,8351,232,3753,204,17516,020,875
-1-5-13-25-65-125-325-1,625-9,859-49,295-128,167-246,475-640,835-1,232,375-3,204,175-16,020,875

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