Q: What are the factor combinations of the number 150,542,455?

 A:
Positive:   1 x 1505424555 x 301084917 x 2150606535 x 430121337 x 406871549 x 3072295185 x 813743245 x 614459259 x 5812451295 x 1162491813 x 830359065 x 16607
Negative: -1 x -150542455-5 x -30108491-7 x -21506065-35 x -4301213-37 x -4068715-49 x -3072295-185 x -813743-245 x -614459-259 x -581245-1295 x -116249-1813 x -83035-9065 x -16607


How do I find the factor combinations of the number 150,542,455?

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 150,542,455, 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.

1 150,542,455
-1 -150,542,455

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 150,542,455.

Example:
1 x 150,542,455 = 150,542,455
and
-1 x -150,542,455 = 150,542,455
Notice both answers equal 150,542,455

With that explanation out of the way, let's continue. Next, we take the number 150,542,455 and divide it by 2:

150,542,455 ÷ 2 = 75,271,227.5

If the quotient is a whole number, then 2 and 75,271,227.5 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:

1 150,542,455
-1 -150,542,455

Now, we try dividing 150,542,455 by 3:

150,542,455 ÷ 3 = 50,180,818.3333

If the quotient is a whole number, then 3 and 50,180,818.3333 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:

1 150,542,455
-1 -150,542,455

Let's try dividing by 4:

150,542,455 ÷ 4 = 37,635,613.75

If the quotient is a whole number, then 4 and 37,635,613.75 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:

1 150,542,455
-1 150,542,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1573537491852452591,2951,8139,06516,60783,035116,249581,245614,459813,7433,072,2954,068,7154,301,21321,506,06530,108,491150,542,455
-1-5-7-35-37-49-185-245-259-1,295-1,813-9,065-16,607-83,035-116,249-581,245-614,459-813,743-3,072,295-4,068,715-4,301,213-21,506,065-30,108,491-150,542,455

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