Q: What are the factor combinations of the number 433,142,155?

 A:
Positive:   1 x 4331421555 x 86628431349 x 1241095401 x 1080155619 x 6997451745 x 2482192005 x 2160313095 x 139949
Negative: -1 x -433142155-5 x -86628431-349 x -1241095-401 x -1080155-619 x -699745-1745 x -248219-2005 x -216031-3095 x -139949


How do I find the factor combinations of the number 433,142,155?

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 433,142,155, 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.

1 433,142,155
-1 -433,142,155

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 433,142,155.

Example:
1 x 433,142,155 = 433,142,155
and
-1 x -433,142,155 = 433,142,155
Notice both answers equal 433,142,155

With that explanation out of the way, let's continue. Next, we take the number 433,142,155 and divide it by 2:

433,142,155 ÷ 2 = 216,571,077.5

If the quotient is a whole number, then 2 and 216,571,077.5 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:

1 433,142,155
-1 -433,142,155

Now, we try dividing 433,142,155 by 3:

433,142,155 ÷ 3 = 144,380,718.3333

If the quotient is a whole number, then 3 and 144,380,718.3333 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:

1 433,142,155
-1 -433,142,155

Let's try dividing by 4:

433,142,155 ÷ 4 = 108,285,538.75

If the quotient is a whole number, then 4 and 108,285,538.75 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:

1 433,142,155
-1 433,142,155
Keep dividing by the next highest number until you cannot divide anymore.

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

153494016191,7452,0053,095139,949216,031248,219699,7451,080,1551,241,09586,628,431433,142,155
-1-5-349-401-619-1,745-2,005-3,095-139,949-216,031-248,219-699,745-1,080,155-1,241,095-86,628,431-433,142,155

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