Q: What are the factor combinations of the number 155,000,251?

 A:
Positive:   1 x 1550002517 x 2214289343 x 3604657301 x 514951419 x 3699291229 x 1261192933 x 528478603 x 18017
Negative: -1 x -155000251-7 x -22142893-43 x -3604657-301 x -514951-419 x -369929-1229 x -126119-2933 x -52847-8603 x -18017


How do I find the factor combinations of the number 155,000,251?

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 155,000,251, 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.

1 155,000,251
-1 -155,000,251

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 155,000,251.

Example:
1 x 155,000,251 = 155,000,251
and
-1 x -155,000,251 = 155,000,251
Notice both answers equal 155,000,251

With that explanation out of the way, let's continue. Next, we take the number 155,000,251 and divide it by 2:

155,000,251 ÷ 2 = 77,500,125.5

If the quotient is a whole number, then 2 and 77,500,125.5 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:

1 155,000,251
-1 -155,000,251

Now, we try dividing 155,000,251 by 3:

155,000,251 ÷ 3 = 51,666,750.3333

If the quotient is a whole number, then 3 and 51,666,750.3333 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:

1 155,000,251
-1 -155,000,251

Let's try dividing by 4:

155,000,251 ÷ 4 = 38,750,062.75

If the quotient is a whole number, then 4 and 38,750,062.75 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:

1 155,000,251
-1 155,000,251
Keep dividing by the next highest number until you cannot divide anymore.

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

17433014191,2292,9338,60318,01752,847126,119369,929514,9513,604,65722,142,893155,000,251
-1-7-43-301-419-1,229-2,933-8,603-18,017-52,847-126,119-369,929-514,951-3,604,657-22,142,893-155,000,251

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