Q: What are the factor combinations of the number 155,360,491?

 A:
Positive:   1 x 15536049111 x 1412368113 x 11950807121 x 1283971143 x 1086437283 x 548977349 x 4451591573 x 987673113 x 499073679 x 422293839 x 404694537 x 34243
Negative: -1 x -155360491-11 x -14123681-13 x -11950807-121 x -1283971-143 x -1086437-283 x -548977-349 x -445159-1573 x -98767-3113 x -49907-3679 x -42229-3839 x -40469-4537 x -34243


How do I find the factor combinations of the number 155,360,491?

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 155,360,491, 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.

1 155,360,491
-1 -155,360,491

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 155,360,491.

Example:
1 x 155,360,491 = 155,360,491
and
-1 x -155,360,491 = 155,360,491
Notice both answers equal 155,360,491

With that explanation out of the way, let's continue. Next, we take the number 155,360,491 and divide it by 2:

155,360,491 ÷ 2 = 77,680,245.5

If the quotient is a whole number, then 2 and 77,680,245.5 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:

1 155,360,491
-1 -155,360,491

Now, we try dividing 155,360,491 by 3:

155,360,491 ÷ 3 = 51,786,830.3333

If the quotient is a whole number, then 3 and 51,786,830.3333 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:

1 155,360,491
-1 -155,360,491

Let's try dividing by 4:

155,360,491 ÷ 4 = 38,840,122.75

If the quotient is a whole number, then 4 and 38,840,122.75 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:

1 155,360,491
-1 155,360,491
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211432833491,5733,1133,6793,8394,53734,24340,46942,22949,90798,767445,159548,9771,086,4371,283,97111,950,80714,123,681155,360,491
-1-11-13-121-143-283-349-1,573-3,113-3,679-3,839-4,537-34,243-40,469-42,229-49,907-98,767-445,159-548,977-1,086,437-1,283,971-11,950,807-14,123,681-155,360,491

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