Q: What are the factor combinations of the number 47,020,225?

 A:
Positive:   1 x 470202255 x 94040457 x 671717525 x 188080935 x 1343435139 x 338275175 x 268687695 x 67655973 x 483251933 x 243253475 x 135314865 x 9665
Negative: -1 x -47020225-5 x -9404045-7 x -6717175-25 x -1880809-35 x -1343435-139 x -338275-175 x -268687-695 x -67655-973 x -48325-1933 x -24325-3475 x -13531-4865 x -9665


How do I find the factor combinations of the number 47,020,225?

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 47,020,225, 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 47,020,225
-1 -47,020,225

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 47,020,225.

Example:
1 x 47,020,225 = 47,020,225
and
-1 x -47,020,225 = 47,020,225
Notice both answers equal 47,020,225

With that explanation out of the way, let's continue. Next, we take the number 47,020,225 and divide it by 2:

47,020,225 ÷ 2 = 23,510,112.5

If the quotient is a whole number, then 2 and 23,510,112.5 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 47,020,225
-1 -47,020,225

Now, we try dividing 47,020,225 by 3:

47,020,225 ÷ 3 = 15,673,408.3333

If the quotient is a whole number, then 3 and 15,673,408.3333 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 47,020,225
-1 -47,020,225

Let's try dividing by 4:

47,020,225 ÷ 4 = 11,755,056.25

If the quotient is a whole number, then 4 and 11,755,056.25 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 47,020,225
-1 47,020,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351391756959731,9333,4754,8659,66513,53124,32548,32567,655268,687338,2751,343,4351,880,8096,717,1759,404,04547,020,225
-1-5-7-25-35-139-175-695-973-1,933-3,475-4,865-9,665-13,531-24,325-48,325-67,655-268,687-338,275-1,343,435-1,880,809-6,717,175-9,404,045-47,020,225

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