Q: What are the factor combinations of the number 798,875?

 A:
Positive:   1 x 7988755 x 1597757 x 11412511 x 7262525 x 3195535 x 2282555 x 1452577 x 1037583 x 9625125 x 6391175 x 4565275 x 2905385 x 2075415 x 1925581 x 1375875 x 913
Negative: -1 x -798875-5 x -159775-7 x -114125-11 x -72625-25 x -31955-35 x -22825-55 x -14525-77 x -10375-83 x -9625-125 x -6391-175 x -4565-275 x -2905-385 x -2075-415 x -1925-581 x -1375-875 x -913


How do I find the factor combinations of the number 798,875?

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 798,875, 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.

1 798,875
-1 -798,875

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 798,875.

Example:
1 x 798,875 = 798,875
and
-1 x -798,875 = 798,875
Notice both answers equal 798,875

With that explanation out of the way, let's continue. Next, we take the number 798,875 and divide it by 2:

798,875 ÷ 2 = 399,437.5

If the quotient is a whole number, then 2 and 399,437.5 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:

1 798,875
-1 -798,875

Now, we try dividing 798,875 by 3:

798,875 ÷ 3 = 266,291.6667

If the quotient is a whole number, then 3 and 266,291.6667 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:

1 798,875
-1 -798,875

Let's try dividing by 4:

798,875 ÷ 4 = 199,718.75

If the quotient is a whole number, then 4 and 199,718.75 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:

1 798,875
-1 798,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1571125355577831251752753854155818759131,3751,9252,0752,9054,5656,3919,62510,37514,52522,82531,95572,625114,125159,775798,875
-1-5-7-11-25-35-55-77-83-125-175-275-385-415-581-875-913-1,375-1,925-2,075-2,905-4,565-6,391-9,625-10,375-14,525-22,825-31,955-72,625-114,125-159,775-798,875

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 798,875:


Ask a Question