Q: What are the factor combinations of the number 47,610,377?

 A:
Positive:   1 x 4761037753 x 89830979 x 60266383 x 573619137 x 3475214187 x 113714399 x 108236557 x 7261
Negative: -1 x -47610377-53 x -898309-79 x -602663-83 x -573619-137 x -347521-4187 x -11371-4399 x -10823-6557 x -7261


How do I find the factor combinations of the number 47,610,377?

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 47,610,377, 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 47,610,377
-1 -47,610,377

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 47,610,377.

Example:
1 x 47,610,377 = 47,610,377
and
-1 x -47,610,377 = 47,610,377
Notice both answers equal 47,610,377

With that explanation out of the way, let's continue. Next, we take the number 47,610,377 and divide it by 2:

47,610,377 ÷ 2 = 23,805,188.5

If the quotient is a whole number, then 2 and 23,805,188.5 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 47,610,377
-1 -47,610,377

Now, we try dividing 47,610,377 by 3:

47,610,377 ÷ 3 = 15,870,125.6667

If the quotient is a whole number, then 3 and 15,870,125.6667 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 47,610,377
-1 -47,610,377

Let's try dividing by 4:

47,610,377 ÷ 4 = 11,902,594.25

If the quotient is a whole number, then 4 and 11,902,594.25 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 47,610,377
-1 47,610,377
Keep dividing by the next highest number until you cannot divide anymore.

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

15379831374,1874,3996,5577,26110,82311,371347,521573,619602,663898,30947,610,377
-1-53-79-83-137-4,187-4,399-6,557-7,261-10,823-11,371-347,521-573,619-602,663-898,309-47,610,377

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