Q: What are the factor combinations of the number 152,850,425?

 A:
Positive:   1 x 1528504255 x 305700857 x 2183577513 x 1175772525 x 611401735 x 436715565 x 235154591 x 1679675175 x 873431325 x 470309455 x 3359352275 x 67187
Negative: -1 x -152850425-5 x -30570085-7 x -21835775-13 x -11757725-25 x -6114017-35 x -4367155-65 x -2351545-91 x -1679675-175 x -873431-325 x -470309-455 x -335935-2275 x -67187


How do I find the factor combinations of the number 152,850,425?

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 152,850,425, 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.

1 152,850,425
-1 -152,850,425

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 152,850,425.

Example:
1 x 152,850,425 = 152,850,425
and
-1 x -152,850,425 = 152,850,425
Notice both answers equal 152,850,425

With that explanation out of the way, let's continue. Next, we take the number 152,850,425 and divide it by 2:

152,850,425 ÷ 2 = 76,425,212.5

If the quotient is a whole number, then 2 and 76,425,212.5 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:

1 152,850,425
-1 -152,850,425

Now, we try dividing 152,850,425 by 3:

152,850,425 ÷ 3 = 50,950,141.6667

If the quotient is a whole number, then 3 and 50,950,141.6667 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:

1 152,850,425
-1 -152,850,425

Let's try dividing by 4:

152,850,425 ÷ 4 = 38,212,606.25

If the quotient is a whole number, then 4 and 38,212,606.25 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:

1 152,850,425
-1 152,850,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,27567,187335,935470,309873,4311,679,6752,351,5454,367,1556,114,01711,757,72521,835,77530,570,085152,850,425
-1-5-7-13-25-35-65-91-175-325-455-2,275-67,187-335,935-470,309-873,431-1,679,675-2,351,545-4,367,155-6,114,017-11,757,725-21,835,775-30,570,085-152,850,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 152,850,425:


Ask a Question