Q: What are the factor combinations of the number 732,013,429?

 A:
Positive:   1 x 7320134297 x 104573347107 x 6841247367 x 1994587749 x 9773212569 x 2849412663 x 27488318641 x 39269
Negative: -1 x -732013429-7 x -104573347-107 x -6841247-367 x -1994587-749 x -977321-2569 x -284941-2663 x -274883-18641 x -39269


How do I find the factor combinations of the number 732,013,429?

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 732,013,429, 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.

1 732,013,429
-1 -732,013,429

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 732,013,429.

Example:
1 x 732,013,429 = 732,013,429
and
-1 x -732,013,429 = 732,013,429
Notice both answers equal 732,013,429

With that explanation out of the way, let's continue. Next, we take the number 732,013,429 and divide it by 2:

732,013,429 ÷ 2 = 366,006,714.5

If the quotient is a whole number, then 2 and 366,006,714.5 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:

1 732,013,429
-1 -732,013,429

Now, we try dividing 732,013,429 by 3:

732,013,429 ÷ 3 = 244,004,476.3333

If the quotient is a whole number, then 3 and 244,004,476.3333 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:

1 732,013,429
-1 -732,013,429

Let's try dividing by 4:

732,013,429 ÷ 4 = 183,003,357.25

If the quotient is a whole number, then 4 and 183,003,357.25 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:

1 732,013,429
-1 732,013,429
Keep dividing by the next highest number until you cannot divide anymore.

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

171073677492,5692,66318,64139,269274,883284,941977,3211,994,5876,841,247104,573,347732,013,429
-1-7-107-367-749-2,569-2,663-18,641-39,269-274,883-284,941-977,321-1,994,587-6,841,247-104,573,347-732,013,429

More Examples

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