Q: What are the factor combinations of the number 258,250,343?

 A:
Positive:   1 x 25825034313 x 1986541137 x 6979739137 x 1885039481 x 5369031781 x 1450033919 x 658975069 x 50947
Negative: -1 x -258250343-13 x -19865411-37 x -6979739-137 x -1885039-481 x -536903-1781 x -145003-3919 x -65897-5069 x -50947


How do I find the factor combinations of the number 258,250,343?

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 258,250,343, 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.

1 258,250,343
-1 -258,250,343

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 258,250,343.

Example:
1 x 258,250,343 = 258,250,343
and
-1 x -258,250,343 = 258,250,343
Notice both answers equal 258,250,343

With that explanation out of the way, let's continue. Next, we take the number 258,250,343 and divide it by 2:

258,250,343 ÷ 2 = 129,125,171.5

If the quotient is a whole number, then 2 and 129,125,171.5 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:

1 258,250,343
-1 -258,250,343

Now, we try dividing 258,250,343 by 3:

258,250,343 ÷ 3 = 86,083,447.6667

If the quotient is a whole number, then 3 and 86,083,447.6667 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:

1 258,250,343
-1 -258,250,343

Let's try dividing by 4:

258,250,343 ÷ 4 = 64,562,585.75

If the quotient is a whole number, then 4 and 64,562,585.75 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:

1 258,250,343
-1 258,250,343
Keep dividing by the next highest number until you cannot divide anymore.

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

113371374811,7813,9195,06950,94765,897145,003536,9031,885,0396,979,73919,865,411258,250,343
-1-13-37-137-481-1,781-3,919-5,069-50,947-65,897-145,003-536,903-1,885,039-6,979,739-19,865,411-258,250,343

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