Q: What are the factor combinations of the number 8,029,021?

 A:
Positive:   1 x 80290217 x 114700311 x 72991113 x 61761777 x 10427391 x 88231143 x 56147169 x 47509617 x 130131001 x 80211183 x 67871859 x 4319
Negative: -1 x -8029021-7 x -1147003-11 x -729911-13 x -617617-77 x -104273-91 x -88231-143 x -56147-169 x -47509-617 x -13013-1001 x -8021-1183 x -6787-1859 x -4319


How do I find the factor combinations of the number 8,029,021?

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 8,029,021, 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 8,029,021
-1 -8,029,021

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 8,029,021.

Example:
1 x 8,029,021 = 8,029,021
and
-1 x -8,029,021 = 8,029,021
Notice both answers equal 8,029,021

With that explanation out of the way, let's continue. Next, we take the number 8,029,021 and divide it by 2:

8,029,021 ÷ 2 = 4,014,510.5

If the quotient is a whole number, then 2 and 4,014,510.5 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 8,029,021
-1 -8,029,021

Now, we try dividing 8,029,021 by 3:

8,029,021 ÷ 3 = 2,676,340.3333

If the quotient is a whole number, then 3 and 2,676,340.3333 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 8,029,021
-1 -8,029,021

Let's try dividing by 4:

8,029,021 ÷ 4 = 2,007,255.25

If the quotient is a whole number, then 4 and 2,007,255.25 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 8,029,021
-1 8,029,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431696171,0011,1831,8594,3196,7878,02113,01347,50956,14788,231104,273617,617729,9111,147,0038,029,021
-1-7-11-13-77-91-143-169-617-1,001-1,183-1,859-4,319-6,787-8,021-13,013-47,509-56,147-88,231-104,273-617,617-729,911-1,147,003-8,029,021

More Examples

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