Q: What are the factor combinations of the number 1,574,875?

 A:
Positive:   1 x 15748755 x 31497525 x 6299543 x 36625125 x 12599215 x 7325293 x 53751075 x 1465
Negative: -1 x -1574875-5 x -314975-25 x -62995-43 x -36625-125 x -12599-215 x -7325-293 x -5375-1075 x -1465


How do I find the factor combinations of the number 1,574,875?

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 1,574,875, 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 1,574,875
-1 -1,574,875

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 1,574,875.

Example:
1 x 1,574,875 = 1,574,875
and
-1 x -1,574,875 = 1,574,875
Notice both answers equal 1,574,875

With that explanation out of the way, let's continue. Next, we take the number 1,574,875 and divide it by 2:

1,574,875 ÷ 2 = 787,437.5

If the quotient is a whole number, then 2 and 787,437.5 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 1,574,875
-1 -1,574,875

Now, we try dividing 1,574,875 by 3:

1,574,875 ÷ 3 = 524,958.3333

If the quotient is a whole number, then 3 and 524,958.3333 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 1,574,875
-1 -1,574,875

Let's try dividing by 4:

1,574,875 ÷ 4 = 393,718.75

If the quotient is a whole number, then 4 and 393,718.75 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 1,574,875
-1 1,574,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252152931,0751,4655,3757,32512,59936,62562,995314,9751,574,875
-1-5-25-43-125-215-293-1,075-1,465-5,375-7,325-12,599-36,625-62,995-314,975-1,574,875

More Examples

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