Q: What are the factor combinations of the number 730,006,265?

 A:
Positive:   1 x 7300062655 x 14600125317 x 4294154585 x 8588309167 x 4371295835 x 8742592839 x 25713514195 x 51427
Negative: -1 x -730006265-5 x -146001253-17 x -42941545-85 x -8588309-167 x -4371295-835 x -874259-2839 x -257135-14195 x -51427


How do I find the factor combinations of the number 730,006,265?

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 730,006,265, 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.

1 730,006,265
-1 -730,006,265

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 730,006,265.

Example:
1 x 730,006,265 = 730,006,265
and
-1 x -730,006,265 = 730,006,265
Notice both answers equal 730,006,265

With that explanation out of the way, let's continue. Next, we take the number 730,006,265 and divide it by 2:

730,006,265 ÷ 2 = 365,003,132.5

If the quotient is a whole number, then 2 and 365,003,132.5 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:

1 730,006,265
-1 -730,006,265

Now, we try dividing 730,006,265 by 3:

730,006,265 ÷ 3 = 243,335,421.6667

If the quotient is a whole number, then 3 and 243,335,421.6667 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:

1 730,006,265
-1 -730,006,265

Let's try dividing by 4:

730,006,265 ÷ 4 = 182,501,566.25

If the quotient is a whole number, then 4 and 182,501,566.25 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:

1 730,006,265
-1 730,006,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851678352,83914,19551,427257,135874,2594,371,2958,588,30942,941,545146,001,253730,006,265
-1-5-17-85-167-835-2,839-14,195-51,427-257,135-874,259-4,371,295-8,588,309-42,941,545-146,001,253-730,006,265

More Examples

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