Q: What are the factor combinations of the number 50,355,361?

 A:
Positive:   1 x 503553617 x 7193623103 x 488887211 x 238651331 x 152131721 x 698411477 x 340932317 x 21733
Negative: -1 x -50355361-7 x -7193623-103 x -488887-211 x -238651-331 x -152131-721 x -69841-1477 x -34093-2317 x -21733


How do I find the factor combinations of the number 50,355,361?

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 50,355,361, 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 50,355,361
-1 -50,355,361

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 50,355,361.

Example:
1 x 50,355,361 = 50,355,361
and
-1 x -50,355,361 = 50,355,361
Notice both answers equal 50,355,361

With that explanation out of the way, let's continue. Next, we take the number 50,355,361 and divide it by 2:

50,355,361 ÷ 2 = 25,177,680.5

If the quotient is a whole number, then 2 and 25,177,680.5 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 50,355,361
-1 -50,355,361

Now, we try dividing 50,355,361 by 3:

50,355,361 ÷ 3 = 16,785,120.3333

If the quotient is a whole number, then 3 and 16,785,120.3333 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 50,355,361
-1 -50,355,361

Let's try dividing by 4:

50,355,361 ÷ 4 = 12,588,840.25

If the quotient is a whole number, then 4 and 12,588,840.25 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 50,355,361
-1 50,355,361
Keep dividing by the next highest number until you cannot divide anymore.

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

171032113317211,4772,31721,73334,09369,841152,131238,651488,8877,193,62350,355,361
-1-7-103-211-331-721-1,477-2,317-21,733-34,093-69,841-152,131-238,651-488,887-7,193,623-50,355,361

More Examples

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