Q: What are the factor combinations of the number 84,015,365?

 A:
Positive:   1 x 840153655 x 168030737 x 1200219535 x 240043971 x 1183315355 x 236663497 x 1690452485 x 33809
Negative: -1 x -84015365-5 x -16803073-7 x -12002195-35 x -2400439-71 x -1183315-355 x -236663-497 x -169045-2485 x -33809


How do I find the factor combinations of the number 84,015,365?

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 84,015,365, 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 84,015,365
-1 -84,015,365

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 84,015,365.

Example:
1 x 84,015,365 = 84,015,365
and
-1 x -84,015,365 = 84,015,365
Notice both answers equal 84,015,365

With that explanation out of the way, let's continue. Next, we take the number 84,015,365 and divide it by 2:

84,015,365 ÷ 2 = 42,007,682.5

If the quotient is a whole number, then 2 and 42,007,682.5 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 84,015,365
-1 -84,015,365

Now, we try dividing 84,015,365 by 3:

84,015,365 ÷ 3 = 28,005,121.6667

If the quotient is a whole number, then 3 and 28,005,121.6667 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 84,015,365
-1 -84,015,365

Let's try dividing by 4:

84,015,365 ÷ 4 = 21,003,841.25

If the quotient is a whole number, then 4 and 21,003,841.25 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 84,015,365
-1 84,015,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,48533,809169,045236,6631,183,3152,400,43912,002,19516,803,07384,015,365
-1-5-7-35-71-355-497-2,485-33,809-169,045-236,663-1,183,315-2,400,439-12,002,195-16,803,073-84,015,365

More Examples

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