Q: What are the factor combinations of the number 152,535,516?

 A:
Positive:   1 x 1525355162 x 762677583 x 508451724 x 381338796 x 254225867 x 2179078812 x 1271129314 x 1089539421 x 726359628 x 544769742 x 363179884 x 1815899
Negative: -1 x -152535516-2 x -76267758-3 x -50845172-4 x -38133879-6 x -25422586-7 x -21790788-12 x -12711293-14 x -10895394-21 x -7263596-28 x -5447697-42 x -3631798-84 x -1815899


How do I find the factor combinations of the number 152,535,516?

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 152,535,516, 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.

1 152,535,516
-1 -152,535,516

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 152,535,516.

Example:
1 x 152,535,516 = 152,535,516
and
-1 x -152,535,516 = 152,535,516
Notice both answers equal 152,535,516

With that explanation out of the way, let's continue. Next, we take the number 152,535,516 and divide it by 2:

152,535,516 ÷ 2 = 76,267,758

If the quotient is a whole number, then 2 and 76,267,758 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 76,267,758 152,535,516
-1 -2 -76,267,758 -152,535,516

Now, we try dividing 152,535,516 by 3:

152,535,516 ÷ 3 = 50,845,172

If the quotient is a whole number, then 3 and 50,845,172 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 50,845,172 76,267,758 152,535,516
-1 -2 -3 -50,845,172 -76,267,758 -152,535,516

Let's try dividing by 4:

152,535,516 ÷ 4 = 38,133,879

If the quotient is a whole number, then 4 and 38,133,879 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 38,133,879 50,845,172 76,267,758 152,535,516
-1 -2 -3 -4 -38,133,879 -50,845,172 -76,267,758 152,535,516
Keep dividing by the next highest number until you cannot divide anymore.

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

1234671214212842841,815,8993,631,7985,447,6977,263,59610,895,39412,711,29321,790,78825,422,58638,133,87950,845,17276,267,758152,535,516
-1-2-3-4-6-7-12-14-21-28-42-84-1,815,899-3,631,798-5,447,697-7,263,596-10,895,394-12,711,293-21,790,788-25,422,586-38,133,879-50,845,172-76,267,758-152,535,516

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