Q: What are the factor combinations of the number 240,450,035?

 A:
Positive:   1 x 2404500355 x 480900077 x 3435000519 x 1265526535 x 687000141 x 586463595 x 2531053133 x 1807895205 x 1172927287 x 837805665 x 361579779 x 3086651435 x 1675613895 x 617335453 x 440958819 x 27265
Negative: -1 x -240450035-5 x -48090007-7 x -34350005-19 x -12655265-35 x -6870001-41 x -5864635-95 x -2531053-133 x -1807895-205 x -1172927-287 x -837805-665 x -361579-779 x -308665-1435 x -167561-3895 x -61733-5453 x -44095-8819 x -27265


How do I find the factor combinations of the number 240,450,035?

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 240,450,035, 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.

1 240,450,035
-1 -240,450,035

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 240,450,035.

Example:
1 x 240,450,035 = 240,450,035
and
-1 x -240,450,035 = 240,450,035
Notice both answers equal 240,450,035

With that explanation out of the way, let's continue. Next, we take the number 240,450,035 and divide it by 2:

240,450,035 ÷ 2 = 120,225,017.5

If the quotient is a whole number, then 2 and 120,225,017.5 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:

1 240,450,035
-1 -240,450,035

Now, we try dividing 240,450,035 by 3:

240,450,035 ÷ 3 = 80,150,011.6667

If the quotient is a whole number, then 3 and 80,150,011.6667 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:

1 240,450,035
-1 -240,450,035

Let's try dividing by 4:

240,450,035 ÷ 4 = 60,112,508.75

If the quotient is a whole number, then 4 and 60,112,508.75 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:

1 240,450,035
-1 240,450,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157193541951332052876657791,4353,8955,4538,81927,26544,09561,733167,561308,665361,579837,8051,172,9271,807,8952,531,0535,864,6356,870,00112,655,26534,350,00548,090,007240,450,035
-1-5-7-19-35-41-95-133-205-287-665-779-1,435-3,895-5,453-8,819-27,265-44,095-61,733-167,561-308,665-361,579-837,805-1,172,927-1,807,895-2,531,053-5,864,635-6,870,001-12,655,265-34,350,005-48,090,007-240,450,035

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