Q: What are the factor combinations of the number 47,452,225?

 A:
Positive:   1 x 474522255 x 949044525 x 189808953 x 89532559 x 804275265 x 179065295 x 160855607 x 781751325 x 358131475 x 321713035 x 156353127 x 15175
Negative: -1 x -47452225-5 x -9490445-25 x -1898089-53 x -895325-59 x -804275-265 x -179065-295 x -160855-607 x -78175-1325 x -35813-1475 x -32171-3035 x -15635-3127 x -15175


How do I find the factor combinations of the number 47,452,225?

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 47,452,225, 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 47,452,225
-1 -47,452,225

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 47,452,225.

Example:
1 x 47,452,225 = 47,452,225
and
-1 x -47,452,225 = 47,452,225
Notice both answers equal 47,452,225

With that explanation out of the way, let's continue. Next, we take the number 47,452,225 and divide it by 2:

47,452,225 ÷ 2 = 23,726,112.5

If the quotient is a whole number, then 2 and 23,726,112.5 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 47,452,225
-1 -47,452,225

Now, we try dividing 47,452,225 by 3:

47,452,225 ÷ 3 = 15,817,408.3333

If the quotient is a whole number, then 3 and 15,817,408.3333 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 47,452,225
-1 -47,452,225

Let's try dividing by 4:

47,452,225 ÷ 4 = 11,863,056.25

If the quotient is a whole number, then 4 and 11,863,056.25 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 47,452,225
-1 47,452,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152553592652956071,3251,4753,0353,12715,17515,63532,17135,81378,175160,855179,065804,275895,3251,898,0899,490,44547,452,225
-1-5-25-53-59-265-295-607-1,325-1,475-3,035-3,127-15,175-15,635-32,171-35,813-78,175-160,855-179,065-804,275-895,325-1,898,089-9,490,445-47,452,225

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