Q: What are the factor combinations of the number 70,020,863?

 A:
Positive:   1 x 7002086311 x 636553361 x 1147883241 x 290543433 x 161711671 x 1043532651 x 264134763 x 14701
Negative: -1 x -70020863-11 x -6365533-61 x -1147883-241 x -290543-433 x -161711-671 x -104353-2651 x -26413-4763 x -14701


How do I find the factor combinations of the number 70,020,863?

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 70,020,863, 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 70,020,863
-1 -70,020,863

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 70,020,863.

Example:
1 x 70,020,863 = 70,020,863
and
-1 x -70,020,863 = 70,020,863
Notice both answers equal 70,020,863

With that explanation out of the way, let's continue. Next, we take the number 70,020,863 and divide it by 2:

70,020,863 ÷ 2 = 35,010,431.5

If the quotient is a whole number, then 2 and 35,010,431.5 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 70,020,863
-1 -70,020,863

Now, we try dividing 70,020,863 by 3:

70,020,863 ÷ 3 = 23,340,287.6667

If the quotient is a whole number, then 3 and 23,340,287.6667 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 70,020,863
-1 -70,020,863

Let's try dividing by 4:

70,020,863 ÷ 4 = 17,505,215.75

If the quotient is a whole number, then 4 and 17,505,215.75 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 70,020,863
-1 70,020,863
Keep dividing by the next highest number until you cannot divide anymore.

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

111612414336712,6514,76314,70126,413104,353161,711290,5431,147,8836,365,53370,020,863
-1-11-61-241-433-671-2,651-4,763-14,701-26,413-104,353-161,711-290,543-1,147,883-6,365,533-70,020,863

More Examples

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