Q: What are the factor combinations of the number 84,202,069?

 A:
Positive:   1 x 842020697 x 1202886741 x 205370973 x 1153453287 x 293387511 x 1647792993 x 281334019 x 20951
Negative: -1 x -84202069-7 x -12028867-41 x -2053709-73 x -1153453-287 x -293387-511 x -164779-2993 x -28133-4019 x -20951


How do I find the factor combinations of the number 84,202,069?

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 84,202,069, 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 84,202,069
-1 -84,202,069

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 84,202,069.

Example:
1 x 84,202,069 = 84,202,069
and
-1 x -84,202,069 = 84,202,069
Notice both answers equal 84,202,069

With that explanation out of the way, let's continue. Next, we take the number 84,202,069 and divide it by 2:

84,202,069 ÷ 2 = 42,101,034.5

If the quotient is a whole number, then 2 and 42,101,034.5 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 84,202,069
-1 -84,202,069

Now, we try dividing 84,202,069 by 3:

84,202,069 ÷ 3 = 28,067,356.3333

If the quotient is a whole number, then 3 and 28,067,356.3333 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 84,202,069
-1 -84,202,069

Let's try dividing by 4:

84,202,069 ÷ 4 = 21,050,517.25

If the quotient is a whole number, then 4 and 21,050,517.25 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 84,202,069
-1 84,202,069
Keep dividing by the next highest number until you cannot divide anymore.

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

1741732875112,9934,01920,95128,133164,779293,3871,153,4532,053,70912,028,86784,202,069
-1-7-41-73-287-511-2,993-4,019-20,951-28,133-164,779-293,387-1,153,453-2,053,709-12,028,867-84,202,069

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