Q: What are the factor combinations of the number 152,768,735?

 A:
Positive:   1 x 1527687355 x 305537477 x 2182410535 x 4364821293 x 5213951465 x 1042792051 x 7448510255 x 14897
Negative: -1 x -152768735-5 x -30553747-7 x -21824105-35 x -4364821-293 x -521395-1465 x -104279-2051 x -74485-10255 x -14897


How do I find the factor combinations of the number 152,768,735?

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 152,768,735, 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.

1 152,768,735
-1 -152,768,735

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 152,768,735.

Example:
1 x 152,768,735 = 152,768,735
and
-1 x -152,768,735 = 152,768,735
Notice both answers equal 152,768,735

With that explanation out of the way, let's continue. Next, we take the number 152,768,735 and divide it by 2:

152,768,735 ÷ 2 = 76,384,367.5

If the quotient is a whole number, then 2 and 76,384,367.5 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:

1 152,768,735
-1 -152,768,735

Now, we try dividing 152,768,735 by 3:

152,768,735 ÷ 3 = 50,922,911.6667

If the quotient is a whole number, then 3 and 50,922,911.6667 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:

1 152,768,735
-1 -152,768,735

Let's try dividing by 4:

152,768,735 ÷ 4 = 38,192,183.75

If the quotient is a whole number, then 4 and 38,192,183.75 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:

1 152,768,735
-1 152,768,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157352931,4652,05110,25514,89774,485104,279521,3954,364,82121,824,10530,553,747152,768,735
-1-5-7-35-293-1,465-2,051-10,255-14,897-74,485-104,279-521,395-4,364,821-21,824,105-30,553,747-152,768,735

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