Q: What are the factor combinations of the number 60,070,021?

 A:
Positive:   1 x 6007002111 x 546091173 x 822877239 x 251339313 x 191917803 x 748072629 x 228493443 x 17447
Negative: -1 x -60070021-11 x -5460911-73 x -822877-239 x -251339-313 x -191917-803 x -74807-2629 x -22849-3443 x -17447


How do I find the factor combinations of the number 60,070,021?

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 60,070,021, 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 60,070,021
-1 -60,070,021

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 60,070,021.

Example:
1 x 60,070,021 = 60,070,021
and
-1 x -60,070,021 = 60,070,021
Notice both answers equal 60,070,021

With that explanation out of the way, let's continue. Next, we take the number 60,070,021 and divide it by 2:

60,070,021 ÷ 2 = 30,035,010.5

If the quotient is a whole number, then 2 and 30,035,010.5 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 60,070,021
-1 -60,070,021

Now, we try dividing 60,070,021 by 3:

60,070,021 ÷ 3 = 20,023,340.3333

If the quotient is a whole number, then 3 and 20,023,340.3333 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 60,070,021
-1 -60,070,021

Let's try dividing by 4:

60,070,021 ÷ 4 = 15,017,505.25

If the quotient is a whole number, then 4 and 15,017,505.25 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 60,070,021
-1 60,070,021
Keep dividing by the next highest number until you cannot divide anymore.

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

111732393138032,6293,44317,44722,84974,807191,917251,339822,8775,460,91160,070,021
-1-11-73-239-313-803-2,629-3,443-17,447-22,849-74,807-191,917-251,339-822,877-5,460,911-60,070,021

More Examples

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