Q: What are the factor combinations of the number 155,767,345?

 A:
Positive:   1 x 1557673455 x 3115346917 x 916278583 x 187671585 x 1832557415 x 3753431411 x 1103957055 x 22079
Negative: -1 x -155767345-5 x -31153469-17 x -9162785-83 x -1876715-85 x -1832557-415 x -375343-1411 x -110395-7055 x -22079


How do I find the factor combinations of the number 155,767,345?

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 155,767,345, 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.

1 155,767,345
-1 -155,767,345

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 155,767,345.

Example:
1 x 155,767,345 = 155,767,345
and
-1 x -155,767,345 = 155,767,345
Notice both answers equal 155,767,345

With that explanation out of the way, let's continue. Next, we take the number 155,767,345 and divide it by 2:

155,767,345 ÷ 2 = 77,883,672.5

If the quotient is a whole number, then 2 and 77,883,672.5 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:

1 155,767,345
-1 -155,767,345

Now, we try dividing 155,767,345 by 3:

155,767,345 ÷ 3 = 51,922,448.3333

If the quotient is a whole number, then 3 and 51,922,448.3333 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:

1 155,767,345
-1 -155,767,345

Let's try dividing by 4:

155,767,345 ÷ 4 = 38,941,836.25

If the quotient is a whole number, then 4 and 38,941,836.25 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:

1 155,767,345
-1 155,767,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151783854151,4117,05522,079110,395375,3431,832,5571,876,7159,162,78531,153,469155,767,345
-1-5-17-83-85-415-1,411-7,055-22,079-110,395-375,343-1,832,557-1,876,715-9,162,785-31,153,469-155,767,345

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