Q: What are the factor combinations of the number 150,420,445?

 A:
Positive:   1 x 1504204455 x 300840897 x 2148863535 x 429772747 x 320043549 x 3069805235 x 640087245 x 613961329 x 4572051645 x 914412303 x 6531511515 x 13063
Negative: -1 x -150420445-5 x -30084089-7 x -21488635-35 x -4297727-47 x -3200435-49 x -3069805-235 x -640087-245 x -613961-329 x -457205-1645 x -91441-2303 x -65315-11515 x -13063


How do I find the factor combinations of the number 150,420,445?

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 150,420,445, 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.

1 150,420,445
-1 -150,420,445

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 150,420,445.

Example:
1 x 150,420,445 = 150,420,445
and
-1 x -150,420,445 = 150,420,445
Notice both answers equal 150,420,445

With that explanation out of the way, let's continue. Next, we take the number 150,420,445 and divide it by 2:

150,420,445 ÷ 2 = 75,210,222.5

If the quotient is a whole number, then 2 and 75,210,222.5 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:

1 150,420,445
-1 -150,420,445

Now, we try dividing 150,420,445 by 3:

150,420,445 ÷ 3 = 50,140,148.3333

If the quotient is a whole number, then 3 and 50,140,148.3333 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:

1 150,420,445
-1 -150,420,445

Let's try dividing by 4:

150,420,445 ÷ 4 = 37,605,111.25

If the quotient is a whole number, then 4 and 37,605,111.25 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:

1 150,420,445
-1 150,420,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1573547492352453291,6452,30311,51513,06365,31591,441457,205613,961640,0873,069,8053,200,4354,297,72721,488,63530,084,089150,420,445
-1-5-7-35-47-49-235-245-329-1,645-2,303-11,515-13,063-65,315-91,441-457,205-613,961-640,087-3,069,805-3,200,435-4,297,727-21,488,635-30,084,089-150,420,445

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