Q: What are the factor combinations of the number 47,250,769?

 A:
Positive:   1 x 4725076917 x 277945779 x 598111151 x 312919233 x 2027931343 x 351832567 x 184073961 x 11929
Negative: -1 x -47250769-17 x -2779457-79 x -598111-151 x -312919-233 x -202793-1343 x -35183-2567 x -18407-3961 x -11929


How do I find the factor combinations of the number 47,250,769?

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 47,250,769, 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 47,250,769
-1 -47,250,769

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 47,250,769.

Example:
1 x 47,250,769 = 47,250,769
and
-1 x -47,250,769 = 47,250,769
Notice both answers equal 47,250,769

With that explanation out of the way, let's continue. Next, we take the number 47,250,769 and divide it by 2:

47,250,769 ÷ 2 = 23,625,384.5

If the quotient is a whole number, then 2 and 23,625,384.5 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 47,250,769
-1 -47,250,769

Now, we try dividing 47,250,769 by 3:

47,250,769 ÷ 3 = 15,750,256.3333

If the quotient is a whole number, then 3 and 15,750,256.3333 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 47,250,769
-1 -47,250,769

Let's try dividing by 4:

47,250,769 ÷ 4 = 11,812,692.25

If the quotient is a whole number, then 4 and 11,812,692.25 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 47,250,769
-1 47,250,769
Keep dividing by the next highest number until you cannot divide anymore.

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

117791512331,3432,5673,96111,92918,40735,183202,793312,919598,1112,779,45747,250,769
-1-17-79-151-233-1,343-2,567-3,961-11,929-18,407-35,183-202,793-312,919-598,111-2,779,457-47,250,769

More Examples

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