Q: What are the factor combinations of the number 155,257,039?

 A:
Positive:   1 x 1552570397 x 2217957717 x 913276729 x 535369149 x 3168511119 x 1304681203 x 764813493 x 314923833 x 1863831421 x 1092593451 x 449896427 x 24157
Negative: -1 x -155257039-7 x -22179577-17 x -9132767-29 x -5353691-49 x -3168511-119 x -1304681-203 x -764813-493 x -314923-833 x -186383-1421 x -109259-3451 x -44989-6427 x -24157


How do I find the factor combinations of the number 155,257,039?

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 155,257,039, 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.

1 155,257,039
-1 -155,257,039

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 155,257,039.

Example:
1 x 155,257,039 = 155,257,039
and
-1 x -155,257,039 = 155,257,039
Notice both answers equal 155,257,039

With that explanation out of the way, let's continue. Next, we take the number 155,257,039 and divide it by 2:

155,257,039 ÷ 2 = 77,628,519.5

If the quotient is a whole number, then 2 and 77,628,519.5 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:

1 155,257,039
-1 -155,257,039

Now, we try dividing 155,257,039 by 3:

155,257,039 ÷ 3 = 51,752,346.3333

If the quotient is a whole number, then 3 and 51,752,346.3333 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:

1 155,257,039
-1 -155,257,039

Let's try dividing by 4:

155,257,039 ÷ 4 = 38,814,259.75

If the quotient is a whole number, then 4 and 38,814,259.75 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:

1 155,257,039
-1 155,257,039
Keep dividing by the next highest number until you cannot divide anymore.

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

171729491192034938331,4213,4516,42724,15744,989109,259186,383314,923764,8131,304,6813,168,5115,353,6919,132,76722,179,577155,257,039
-1-7-17-29-49-119-203-493-833-1,421-3,451-6,427-24,157-44,989-109,259-186,383-314,923-764,813-1,304,681-3,168,511-5,353,691-9,132,767-22,179,577-155,257,039

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