Q: What are the factor combinations of the number 42,253,225?

 A:
Positive:   1 x 422532255 x 84506457 x 603617525 x 169012935 x 120723583 x 509075175 x 241447415 x 101815581 x 727252075 x 203632905 x 145452909 x 14525
Negative: -1 x -42253225-5 x -8450645-7 x -6036175-25 x -1690129-35 x -1207235-83 x -509075-175 x -241447-415 x -101815-581 x -72725-2075 x -20363-2905 x -14545-2909 x -14525


How do I find the factor combinations of the number 42,253,225?

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 42,253,225, 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 42,253,225
-1 -42,253,225

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 42,253,225.

Example:
1 x 42,253,225 = 42,253,225
and
-1 x -42,253,225 = 42,253,225
Notice both answers equal 42,253,225

With that explanation out of the way, let's continue. Next, we take the number 42,253,225 and divide it by 2:

42,253,225 ÷ 2 = 21,126,612.5

If the quotient is a whole number, then 2 and 21,126,612.5 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 42,253,225
-1 -42,253,225

Now, we try dividing 42,253,225 by 3:

42,253,225 ÷ 3 = 14,084,408.3333

If the quotient is a whole number, then 3 and 14,084,408.3333 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 42,253,225
-1 -42,253,225

Let's try dividing by 4:

42,253,225 ÷ 4 = 10,563,306.25

If the quotient is a whole number, then 4 and 10,563,306.25 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 42,253,225
-1 42,253,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535831754155812,0752,9052,90914,52514,54520,36372,725101,815241,447509,0751,207,2351,690,1296,036,1758,450,64542,253,225
-1-5-7-25-35-83-175-415-581-2,075-2,905-2,909-14,525-14,545-20,363-72,725-101,815-241,447-509,075-1,207,235-1,690,129-6,036,175-8,450,645-42,253,225

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