Q: What are the factor combinations of the number 156,520,445?

 A:
Positive:   1 x 1565204455 x 3130408917 x 920708585 x 1841417137 x 1142485685 x 2284972329 x 6720511645 x 13441
Negative: -1 x -156520445-5 x -31304089-17 x -9207085-85 x -1841417-137 x -1142485-685 x -228497-2329 x -67205-11645 x -13441


How do I find the factor combinations of the number 156,520,445?

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 156,520,445, 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.

1 156,520,445
-1 -156,520,445

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 156,520,445.

Example:
1 x 156,520,445 = 156,520,445
and
-1 x -156,520,445 = 156,520,445
Notice both answers equal 156,520,445

With that explanation out of the way, let's continue. Next, we take the number 156,520,445 and divide it by 2:

156,520,445 ÷ 2 = 78,260,222.5

If the quotient is a whole number, then 2 and 78,260,222.5 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:

1 156,520,445
-1 -156,520,445

Now, we try dividing 156,520,445 by 3:

156,520,445 ÷ 3 = 52,173,481.6667

If the quotient is a whole number, then 3 and 52,173,481.6667 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:

1 156,520,445
-1 -156,520,445

Let's try dividing by 4:

156,520,445 ÷ 4 = 39,130,111.25

If the quotient is a whole number, then 4 and 39,130,111.25 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:

1 156,520,445
-1 156,520,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851376852,32911,64513,44167,205228,4971,142,4851,841,4179,207,08531,304,089156,520,445
-1-5-17-85-137-685-2,329-11,645-13,441-67,205-228,497-1,142,485-1,841,417-9,207,085-31,304,089-156,520,445

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