Q: What are the factor combinations of the number 155,403,001?

 A:
Positive:   1 x 15540300113 x 1195407717 x 9141353103 x 1508767221 x 7031811339 x 1160591751 x 887516827 x 22763
Negative: -1 x -155403001-13 x -11954077-17 x -9141353-103 x -1508767-221 x -703181-1339 x -116059-1751 x -88751-6827 x -22763


How do I find the factor combinations of the number 155,403,001?

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 155,403,001, 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.

1 155,403,001
-1 -155,403,001

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 155,403,001.

Example:
1 x 155,403,001 = 155,403,001
and
-1 x -155,403,001 = 155,403,001
Notice both answers equal 155,403,001

With that explanation out of the way, let's continue. Next, we take the number 155,403,001 and divide it by 2:

155,403,001 ÷ 2 = 77,701,500.5

If the quotient is a whole number, then 2 and 77,701,500.5 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:

1 155,403,001
-1 -155,403,001

Now, we try dividing 155,403,001 by 3:

155,403,001 ÷ 3 = 51,801,000.3333

If the quotient is a whole number, then 3 and 51,801,000.3333 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:

1 155,403,001
-1 -155,403,001

Let's try dividing by 4:

155,403,001 ÷ 4 = 38,850,750.25

If the quotient is a whole number, then 4 and 38,850,750.25 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:

1 155,403,001
-1 155,403,001
Keep dividing by the next highest number until you cannot divide anymore.

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

113171032211,3391,7516,82722,76388,751116,059703,1811,508,7679,141,35311,954,077155,403,001
-1-13-17-103-221-1,339-1,751-6,827-22,763-88,751-116,059-703,181-1,508,767-9,141,353-11,954,077-155,403,001

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