Q: What are the factor combinations of the number 368,411,015?

 A:
Positive:   1 x 3684110155 x 736822037 x 5263014535 x 10526029887 x 4153454435 x 830696209 x 5933511867 x 31045
Negative: -1 x -368411015-5 x -73682203-7 x -52630145-35 x -10526029-887 x -415345-4435 x -83069-6209 x -59335-11867 x -31045


How do I find the factor combinations of the number 368,411,015?

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 368,411,015, 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.

1 368,411,015
-1 -368,411,015

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 368,411,015.

Example:
1 x 368,411,015 = 368,411,015
and
-1 x -368,411,015 = 368,411,015
Notice both answers equal 368,411,015

With that explanation out of the way, let's continue. Next, we take the number 368,411,015 and divide it by 2:

368,411,015 ÷ 2 = 184,205,507.5

If the quotient is a whole number, then 2 and 184,205,507.5 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:

1 368,411,015
-1 -368,411,015

Now, we try dividing 368,411,015 by 3:

368,411,015 ÷ 3 = 122,803,671.6667

If the quotient is a whole number, then 3 and 122,803,671.6667 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:

1 368,411,015
-1 -368,411,015

Let's try dividing by 4:

368,411,015 ÷ 4 = 92,102,753.75

If the quotient is a whole number, then 4 and 92,102,753.75 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:

1 368,411,015
-1 368,411,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157358874,4356,20911,86731,04559,33583,069415,34510,526,02952,630,14573,682,203368,411,015
-1-5-7-35-887-4,435-6,209-11,867-31,045-59,335-83,069-415,345-10,526,029-52,630,145-73,682,203-368,411,015

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