Q: What are the factor combinations of the number 340,025?

 A:
Positive:   1 x 3400255 x 680057 x 4857525 x 1360129 x 1172535 x 971567 x 5075145 x 2345175 x 1943203 x 1675335 x 1015469 x 725
Negative: -1 x -340025-5 x -68005-7 x -48575-25 x -13601-29 x -11725-35 x -9715-67 x -5075-145 x -2345-175 x -1943-203 x -1675-335 x -1015-469 x -725


How do I find the factor combinations of the number 340,025?

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 340,025, 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.

1 340,025
-1 -340,025

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 340,025.

Example:
1 x 340,025 = 340,025
and
-1 x -340,025 = 340,025
Notice both answers equal 340,025

With that explanation out of the way, let's continue. Next, we take the number 340,025 and divide it by 2:

340,025 ÷ 2 = 170,012.5

If the quotient is a whole number, then 2 and 170,012.5 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:

1 340,025
-1 -340,025

Now, we try dividing 340,025 by 3:

340,025 ÷ 3 = 113,341.6667

If the quotient is a whole number, then 3 and 113,341.6667 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:

1 340,025
-1 -340,025

Let's try dividing by 4:

340,025 ÷ 4 = 85,006.25

If the quotient is a whole number, then 4 and 85,006.25 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:

1 340,025
-1 340,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157252935671451752033354697251,0151,6751,9432,3455,0759,71511,72513,60148,57568,005340,025
-1-5-7-25-29-35-67-145-175-203-335-469-725-1,015-1,675-1,943-2,345-5,075-9,715-11,725-13,601-48,575-68,005-340,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 340,025:


Ask a Question