Q: What are the factor combinations of the number 154,031,045?

 A:
Positive:   1 x 1540310455 x 308062097 x 2200443535 x 4400887521 x 2956452605 x 591293647 x 422358447 x 18235
Negative: -1 x -154031045-5 x -30806209-7 x -22004435-35 x -4400887-521 x -295645-2605 x -59129-3647 x -42235-8447 x -18235


How do I find the factor combinations of the number 154,031,045?

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 154,031,045, 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.

1 154,031,045
-1 -154,031,045

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 154,031,045.

Example:
1 x 154,031,045 = 154,031,045
and
-1 x -154,031,045 = 154,031,045
Notice both answers equal 154,031,045

With that explanation out of the way, let's continue. Next, we take the number 154,031,045 and divide it by 2:

154,031,045 ÷ 2 = 77,015,522.5

If the quotient is a whole number, then 2 and 77,015,522.5 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:

1 154,031,045
-1 -154,031,045

Now, we try dividing 154,031,045 by 3:

154,031,045 ÷ 3 = 51,343,681.6667

If the quotient is a whole number, then 3 and 51,343,681.6667 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:

1 154,031,045
-1 -154,031,045

Let's try dividing by 4:

154,031,045 ÷ 4 = 38,507,761.25

If the quotient is a whole number, then 4 and 38,507,761.25 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:

1 154,031,045
-1 154,031,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157355212,6053,6478,44718,23542,23559,129295,6454,400,88722,004,43530,806,209154,031,045
-1-5-7-35-521-2,605-3,647-8,447-18,235-42,235-59,129-295,645-4,400,887-22,004,435-30,806,209-154,031,045

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