Q: What are the factor combinations of the number 420,110,425?

 A:
Positive:   1 x 4201104255 x 840220857 x 6001577519 x 2211107525 x 1680441735 x 1200315595 x 4422215133 x 3158725175 x 2400631475 x 884443665 x 6317453325 x 126349
Negative: -1 x -420110425-5 x -84022085-7 x -60015775-19 x -22111075-25 x -16804417-35 x -12003155-95 x -4422215-133 x -3158725-175 x -2400631-475 x -884443-665 x -631745-3325 x -126349


How do I find the factor combinations of the number 420,110,425?

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 420,110,425, 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.

1 420,110,425
-1 -420,110,425

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 420,110,425.

Example:
1 x 420,110,425 = 420,110,425
and
-1 x -420,110,425 = 420,110,425
Notice both answers equal 420,110,425

With that explanation out of the way, let's continue. Next, we take the number 420,110,425 and divide it by 2:

420,110,425 ÷ 2 = 210,055,212.5

If the quotient is a whole number, then 2 and 210,055,212.5 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:

1 420,110,425
-1 -420,110,425

Now, we try dividing 420,110,425 by 3:

420,110,425 ÷ 3 = 140,036,808.3333

If the quotient is a whole number, then 3 and 140,036,808.3333 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:

1 420,110,425
-1 -420,110,425

Let's try dividing by 4:

420,110,425 ÷ 4 = 105,027,606.25

If the quotient is a whole number, then 4 and 105,027,606.25 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:

1 420,110,425
-1 420,110,425
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,325126,349631,745884,4432,400,6313,158,7254,422,21512,003,15516,804,41722,111,07560,015,77584,022,085420,110,425
-1-5-7-19-25-35-95-133-175-475-665-3,325-126,349-631,745-884,443-2,400,631-3,158,725-4,422,215-12,003,155-16,804,417-22,111,075-60,015,775-84,022,085-420,110,425

More Examples

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