Q: What are the factor combinations of the number 154,916,521?

 A:
Positive:   1 x 15491652129 x 534194937 x 4186933353 x 438857409 x 3787691073 x 14437710237 x 1513311861 x 13061
Negative: -1 x -154916521-29 x -5341949-37 x -4186933-353 x -438857-409 x -378769-1073 x -144377-10237 x -15133-11861 x -13061


How do I find the factor combinations of the number 154,916,521?

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 154,916,521, 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.

1 154,916,521
-1 -154,916,521

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 154,916,521.

Example:
1 x 154,916,521 = 154,916,521
and
-1 x -154,916,521 = 154,916,521
Notice both answers equal 154,916,521

With that explanation out of the way, let's continue. Next, we take the number 154,916,521 and divide it by 2:

154,916,521 ÷ 2 = 77,458,260.5

If the quotient is a whole number, then 2 and 77,458,260.5 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:

1 154,916,521
-1 -154,916,521

Now, we try dividing 154,916,521 by 3:

154,916,521 ÷ 3 = 51,638,840.3333

If the quotient is a whole number, then 3 and 51,638,840.3333 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:

1 154,916,521
-1 -154,916,521

Let's try dividing by 4:

154,916,521 ÷ 4 = 38,729,130.25

If the quotient is a whole number, then 4 and 38,729,130.25 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:

1 154,916,521
-1 154,916,521
Keep dividing by the next highest number until you cannot divide anymore.

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

129373534091,07310,23711,86113,06115,133144,377378,769438,8574,186,9335,341,949154,916,521
-1-29-37-353-409-1,073-10,237-11,861-13,061-15,133-144,377-378,769-438,857-4,186,933-5,341,949-154,916,521

More Examples

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