Q: What are the factor combinations of the number 145,683,355?

 A:
Positive:   1 x 1456833555 x 2913667119 x 766754543 x 338798595 x 1533509215 x 677597361 x 403555817 x 1783151805 x 807111877 x 776154085 x 356639385 x 15523
Negative: -1 x -145683355-5 x -29136671-19 x -7667545-43 x -3387985-95 x -1533509-215 x -677597-361 x -403555-817 x -178315-1805 x -80711-1877 x -77615-4085 x -35663-9385 x -15523


How do I find the factor combinations of the number 145,683,355?

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 145,683,355, 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.

1 145,683,355
-1 -145,683,355

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 145,683,355.

Example:
1 x 145,683,355 = 145,683,355
and
-1 x -145,683,355 = 145,683,355
Notice both answers equal 145,683,355

With that explanation out of the way, let's continue. Next, we take the number 145,683,355 and divide it by 2:

145,683,355 ÷ 2 = 72,841,677.5

If the quotient is a whole number, then 2 and 72,841,677.5 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:

1 145,683,355
-1 -145,683,355

Now, we try dividing 145,683,355 by 3:

145,683,355 ÷ 3 = 48,561,118.3333

If the quotient is a whole number, then 3 and 48,561,118.3333 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:

1 145,683,355
-1 -145,683,355

Let's try dividing by 4:

145,683,355 ÷ 4 = 36,420,838.75

If the quotient is a whole number, then 4 and 36,420,838.75 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:

1 145,683,355
-1 145,683,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151943952153618171,8051,8774,0859,38515,52335,66377,61580,711178,315403,555677,5971,533,5093,387,9857,667,54529,136,671145,683,355
-1-5-19-43-95-215-361-817-1,805-1,877-4,085-9,385-15,523-35,663-77,615-80,711-178,315-403,555-677,597-1,533,509-3,387,985-7,667,545-29,136,671-145,683,355

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