Q: What are the factor combinations of the number 238,601,965?

 A:
Positive:   1 x 2386019655 x 477203937 x 3408599535 x 6817199211 x 11308151055 x 2261631477 x 1615457385 x 32309
Negative: -1 x -238601965-5 x -47720393-7 x -34085995-35 x -6817199-211 x -1130815-1055 x -226163-1477 x -161545-7385 x -32309


How do I find the factor combinations of the number 238,601,965?

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 238,601,965, 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.

1 238,601,965
-1 -238,601,965

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 238,601,965.

Example:
1 x 238,601,965 = 238,601,965
and
-1 x -238,601,965 = 238,601,965
Notice both answers equal 238,601,965

With that explanation out of the way, let's continue. Next, we take the number 238,601,965 and divide it by 2:

238,601,965 ÷ 2 = 119,300,982.5

If the quotient is a whole number, then 2 and 119,300,982.5 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:

1 238,601,965
-1 -238,601,965

Now, we try dividing 238,601,965 by 3:

238,601,965 ÷ 3 = 79,533,988.3333

If the quotient is a whole number, then 3 and 79,533,988.3333 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:

1 238,601,965
-1 -238,601,965

Let's try dividing by 4:

238,601,965 ÷ 4 = 59,650,491.25

If the quotient is a whole number, then 4 and 59,650,491.25 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:

1 238,601,965
-1 238,601,965
Keep dividing by the next highest number until you cannot divide anymore.

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

157352111,0551,4777,38532,309161,545226,1631,130,8156,817,19934,085,99547,720,393238,601,965
-1-5-7-35-211-1,055-1,477-7,385-32,309-161,545-226,163-1,130,815-6,817,199-34,085,995-47,720,393-238,601,965

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