Q: What are the factor combinations of the number 234,744,775?

 A:
Positive:   1 x 2347447755 x 4694895525 x 938979159 x 397872561 x 3848275295 x 795745305 x 7696551475 x 1591491525 x 1539312609 x 899753599 x 6522513045 x 17995
Negative: -1 x -234744775-5 x -46948955-25 x -9389791-59 x -3978725-61 x -3848275-295 x -795745-305 x -769655-1475 x -159149-1525 x -153931-2609 x -89975-3599 x -65225-13045 x -17995


How do I find the factor combinations of the number 234,744,775?

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 234,744,775, 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.

1 234,744,775
-1 -234,744,775

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 234,744,775.

Example:
1 x 234,744,775 = 234,744,775
and
-1 x -234,744,775 = 234,744,775
Notice both answers equal 234,744,775

With that explanation out of the way, let's continue. Next, we take the number 234,744,775 and divide it by 2:

234,744,775 ÷ 2 = 117,372,387.5

If the quotient is a whole number, then 2 and 117,372,387.5 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:

1 234,744,775
-1 -234,744,775

Now, we try dividing 234,744,775 by 3:

234,744,775 ÷ 3 = 78,248,258.3333

If the quotient is a whole number, then 3 and 78,248,258.3333 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:

1 234,744,775
-1 -234,744,775

Let's try dividing by 4:

234,744,775 ÷ 4 = 58,686,193.75

If the quotient is a whole number, then 4 and 58,686,193.75 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:

1 234,744,775
-1 234,744,775
Keep dividing by the next highest number until you cannot divide anymore.

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

152559612953051,4751,5252,6093,59913,04517,99565,22589,975153,931159,149769,655795,7453,848,2753,978,7259,389,79146,948,955234,744,775
-1-5-25-59-61-295-305-1,475-1,525-2,609-3,599-13,045-17,995-65,225-89,975-153,931-159,149-769,655-795,745-3,848,275-3,978,725-9,389,791-46,948,955-234,744,775

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