Q: What are the factor combinations of the number 152,605,045?

 A:
Positive:   1 x 1526050455 x 3052100983 x 1838615269 x 567305415 x 3677231345 x 1134611367 x 1116356835 x 22327
Negative: -1 x -152605045-5 x -30521009-83 x -1838615-269 x -567305-415 x -367723-1345 x -113461-1367 x -111635-6835 x -22327


How do I find the factor combinations of the number 152,605,045?

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 152,605,045, 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.

1 152,605,045
-1 -152,605,045

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 152,605,045.

Example:
1 x 152,605,045 = 152,605,045
and
-1 x -152,605,045 = 152,605,045
Notice both answers equal 152,605,045

With that explanation out of the way, let's continue. Next, we take the number 152,605,045 and divide it by 2:

152,605,045 ÷ 2 = 76,302,522.5

If the quotient is a whole number, then 2 and 76,302,522.5 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:

1 152,605,045
-1 -152,605,045

Now, we try dividing 152,605,045 by 3:

152,605,045 ÷ 3 = 50,868,348.3333

If the quotient is a whole number, then 3 and 50,868,348.3333 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:

1 152,605,045
-1 -152,605,045

Let's try dividing by 4:

152,605,045 ÷ 4 = 38,151,261.25

If the quotient is a whole number, then 4 and 38,151,261.25 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:

1 152,605,045
-1 152,605,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15832694151,3451,3676,83522,327111,635113,461367,723567,3051,838,61530,521,009152,605,045
-1-5-83-269-415-1,345-1,367-6,835-22,327-111,635-113,461-367,723-567,305-1,838,615-30,521,009-152,605,045

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