Q: What are the factor combinations of the number 155,135,513?

 A:
Positive:   1 x 15513551313 x 1193350119 x 816502741 x 3783793247 x 628079533 x 291061779 x 19914710127 x 15319
Negative: -1 x -155135513-13 x -11933501-19 x -8165027-41 x -3783793-247 x -628079-533 x -291061-779 x -199147-10127 x -15319


How do I find the factor combinations of the number 155,135,513?

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 155,135,513, 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.

1 155,135,513
-1 -155,135,513

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 155,135,513.

Example:
1 x 155,135,513 = 155,135,513
and
-1 x -155,135,513 = 155,135,513
Notice both answers equal 155,135,513

With that explanation out of the way, let's continue. Next, we take the number 155,135,513 and divide it by 2:

155,135,513 ÷ 2 = 77,567,756.5

If the quotient is a whole number, then 2 and 77,567,756.5 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:

1 155,135,513
-1 -155,135,513

Now, we try dividing 155,135,513 by 3:

155,135,513 ÷ 3 = 51,711,837.6667

If the quotient is a whole number, then 3 and 51,711,837.6667 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:

1 155,135,513
-1 -155,135,513

Let's try dividing by 4:

155,135,513 ÷ 4 = 38,783,878.25

If the quotient is a whole number, then 4 and 38,783,878.25 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:

1 155,135,513
-1 155,135,513
Keep dividing by the next highest number until you cannot divide anymore.

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

113194124753377910,12715,319199,147291,061628,0793,783,7938,165,02711,933,501155,135,513
-1-13-19-41-247-533-779-10,127-15,319-199,147-291,061-628,079-3,783,793-8,165,027-11,933,501-155,135,513

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