Q: What are the factor combinations of the number 47,610,389?

 A:
Positive:   1 x 4761038931 x 153581941 x 116122947 x 1012987797 x 597371271 x 374591457 x 326771927 x 24707
Negative: -1 x -47610389-31 x -1535819-41 x -1161229-47 x -1012987-797 x -59737-1271 x -37459-1457 x -32677-1927 x -24707


How do I find the factor combinations of the number 47,610,389?

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 47,610,389, 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 47,610,389
-1 -47,610,389

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 47,610,389.

Example:
1 x 47,610,389 = 47,610,389
and
-1 x -47,610,389 = 47,610,389
Notice both answers equal 47,610,389

With that explanation out of the way, let's continue. Next, we take the number 47,610,389 and divide it by 2:

47,610,389 ÷ 2 = 23,805,194.5

If the quotient is a whole number, then 2 and 23,805,194.5 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 47,610,389
-1 -47,610,389

Now, we try dividing 47,610,389 by 3:

47,610,389 ÷ 3 = 15,870,129.6667

If the quotient is a whole number, then 3 and 15,870,129.6667 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 47,610,389
-1 -47,610,389

Let's try dividing by 4:

47,610,389 ÷ 4 = 11,902,597.25

If the quotient is a whole number, then 4 and 11,902,597.25 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 47,610,389
-1 47,610,389
Keep dividing by the next highest number until you cannot divide anymore.

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

13141477971,2711,4571,92724,70732,67737,45959,7371,012,9871,161,2291,535,81947,610,389
-1-31-41-47-797-1,271-1,457-1,927-24,707-32,677-37,459-59,737-1,012,987-1,161,229-1,535,819-47,610,389

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