Q: What are the factor combinations of the number 155,223,035?

 A:
Positive:   1 x 1552230355 x 3104460711 x 1411118555 x 2822237121 x 1282835605 x 256567
Negative: -1 x -155223035-5 x -31044607-11 x -14111185-55 x -2822237-121 x -1282835-605 x -256567


How do I find the factor combinations of the number 155,223,035?

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 155,223,035, 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.

1 155,223,035
-1 -155,223,035

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 155,223,035.

Example:
1 x 155,223,035 = 155,223,035
and
-1 x -155,223,035 = 155,223,035
Notice both answers equal 155,223,035

With that explanation out of the way, let's continue. Next, we take the number 155,223,035 and divide it by 2:

155,223,035 ÷ 2 = 77,611,517.5

If the quotient is a whole number, then 2 and 77,611,517.5 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:

1 155,223,035
-1 -155,223,035

Now, we try dividing 155,223,035 by 3:

155,223,035 ÷ 3 = 51,741,011.6667

If the quotient is a whole number, then 3 and 51,741,011.6667 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:

1 155,223,035
-1 -155,223,035

Let's try dividing by 4:

155,223,035 ÷ 4 = 38,805,758.75

If the quotient is a whole number, then 4 and 38,805,758.75 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:

1 155,223,035
-1 155,223,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151155121605256,5671,282,8352,822,23714,111,18531,044,607155,223,035
-1-5-11-55-121-605-256,567-1,282,835-2,822,237-14,111,185-31,044,607-155,223,035

More Examples

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