Q: What are the factor combinations of the number 151,202,317?

 A:
Positive:   1 x 1512023177 x 2160033129 x 521387367 x 2256751203 x 744839469 x 3223931943 x 7781911117 x 13601
Negative: -1 x -151202317-7 x -21600331-29 x -5213873-67 x -2256751-203 x -744839-469 x -322393-1943 x -77819-11117 x -13601


How do I find the factor combinations of the number 151,202,317?

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 151,202,317, 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.

1 151,202,317
-1 -151,202,317

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 151,202,317.

Example:
1 x 151,202,317 = 151,202,317
and
-1 x -151,202,317 = 151,202,317
Notice both answers equal 151,202,317

With that explanation out of the way, let's continue. Next, we take the number 151,202,317 and divide it by 2:

151,202,317 ÷ 2 = 75,601,158.5

If the quotient is a whole number, then 2 and 75,601,158.5 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:

1 151,202,317
-1 -151,202,317

Now, we try dividing 151,202,317 by 3:

151,202,317 ÷ 3 = 50,400,772.3333

If the quotient is a whole number, then 3 and 50,400,772.3333 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:

1 151,202,317
-1 -151,202,317

Let's try dividing by 4:

151,202,317 ÷ 4 = 37,800,579.25

If the quotient is a whole number, then 4 and 37,800,579.25 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:

1 151,202,317
-1 151,202,317
Keep dividing by the next highest number until you cannot divide anymore.

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

1729672034691,94311,11713,60177,819322,393744,8392,256,7515,213,87321,600,331151,202,317
-1-7-29-67-203-469-1,943-11,117-13,601-77,819-322,393-744,839-2,256,751-5,213,873-21,600,331-151,202,317

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