Q: What are the factor combinations of the number 154,240,555?

 A:
Positive:   1 x 1542405555 x 308481117 x 2203436535 x 4406873773 x 1995353865 x 399075411 x 285055701 x 27055
Negative: -1 x -154240555-5 x -30848111-7 x -22034365-35 x -4406873-773 x -199535-3865 x -39907-5411 x -28505-5701 x -27055


How do I find the factor combinations of the number 154,240,555?

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 154,240,555, 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.

1 154,240,555
-1 -154,240,555

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 154,240,555.

Example:
1 x 154,240,555 = 154,240,555
and
-1 x -154,240,555 = 154,240,555
Notice both answers equal 154,240,555

With that explanation out of the way, let's continue. Next, we take the number 154,240,555 and divide it by 2:

154,240,555 ÷ 2 = 77,120,277.5

If the quotient is a whole number, then 2 and 77,120,277.5 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:

1 154,240,555
-1 -154,240,555

Now, we try dividing 154,240,555 by 3:

154,240,555 ÷ 3 = 51,413,518.3333

If the quotient is a whole number, then 3 and 51,413,518.3333 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:

1 154,240,555
-1 -154,240,555

Let's try dividing by 4:

154,240,555 ÷ 4 = 38,560,138.75

If the quotient is a whole number, then 4 and 38,560,138.75 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:

1 154,240,555
-1 154,240,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157357733,8655,4115,70127,05528,50539,907199,5354,406,87322,034,36530,848,111154,240,555
-1-5-7-35-773-3,865-5,411-5,701-27,055-28,505-39,907-199,535-4,406,873-22,034,365-30,848,111-154,240,555

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