Q: What are the factor combinations of the number 732,464,221?

 A:
Positive:   1 x 73246422141 x 1786498179 x 9271699101 x 72521212239 x 3271393239 x 2261394141 x 1768817979 x 91799
Negative: -1 x -732464221-41 x -17864981-79 x -9271699-101 x -7252121-2239 x -327139-3239 x -226139-4141 x -176881-7979 x -91799


How do I find the factor combinations of the number 732,464,221?

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 732,464,221, 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.

1 732,464,221
-1 -732,464,221

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 732,464,221.

Example:
1 x 732,464,221 = 732,464,221
and
-1 x -732,464,221 = 732,464,221
Notice both answers equal 732,464,221

With that explanation out of the way, let's continue. Next, we take the number 732,464,221 and divide it by 2:

732,464,221 ÷ 2 = 366,232,110.5

If the quotient is a whole number, then 2 and 366,232,110.5 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:

1 732,464,221
-1 -732,464,221

Now, we try dividing 732,464,221 by 3:

732,464,221 ÷ 3 = 244,154,740.3333

If the quotient is a whole number, then 3 and 244,154,740.3333 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:

1 732,464,221
-1 -732,464,221

Let's try dividing by 4:

732,464,221 ÷ 4 = 183,116,055.25

If the quotient is a whole number, then 4 and 183,116,055.25 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:

1 732,464,221
-1 732,464,221
Keep dividing by the next highest number until you cannot divide anymore.

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

141791012,2393,2394,1417,97991,799176,881226,139327,1397,252,1219,271,69917,864,981732,464,221
-1-41-79-101-2,239-3,239-4,141-7,979-91,799-176,881-226,139-327,139-7,252,121-9,271,699-17,864,981-732,464,221

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