Q: What are the factor combinations of the number 250,733,645?

 A:
Positive:   1 x 2507336455 x 5014672937 x 677658543 x 5831015185 x 1355317215 x 1166203733 x 3420651591 x 1575951849 x 1356053665 x 684137955 x 315199245 x 27121
Negative: -1 x -250733645-5 x -50146729-37 x -6776585-43 x -5831015-185 x -1355317-215 x -1166203-733 x -342065-1591 x -157595-1849 x -135605-3665 x -68413-7955 x -31519-9245 x -27121


How do I find the factor combinations of the number 250,733,645?

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 250,733,645, 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.

1 250,733,645
-1 -250,733,645

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 250,733,645.

Example:
1 x 250,733,645 = 250,733,645
and
-1 x -250,733,645 = 250,733,645
Notice both answers equal 250,733,645

With that explanation out of the way, let's continue. Next, we take the number 250,733,645 and divide it by 2:

250,733,645 ÷ 2 = 125,366,822.5

If the quotient is a whole number, then 2 and 125,366,822.5 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:

1 250,733,645
-1 -250,733,645

Now, we try dividing 250,733,645 by 3:

250,733,645 ÷ 3 = 83,577,881.6667

If the quotient is a whole number, then 3 and 83,577,881.6667 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:

1 250,733,645
-1 -250,733,645

Let's try dividing by 4:

250,733,645 ÷ 4 = 62,683,411.25

If the quotient is a whole number, then 4 and 62,683,411.25 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:

1 250,733,645
-1 250,733,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1537431852157331,5911,8493,6657,9559,24527,12131,51968,413135,605157,595342,0651,166,2031,355,3175,831,0156,776,58550,146,729250,733,645
-1-5-37-43-185-215-733-1,591-1,849-3,665-7,955-9,245-27,121-31,519-68,413-135,605-157,595-342,065-1,166,203-1,355,317-5,831,015-6,776,585-50,146,729-250,733,645

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