Q: What are the factor combinations of the number 136,272,745?

 A:
Positive:   1 x 1362727455 x 272545497 x 1946753531 x 439589535 x 3893507155 x 879179217 x 6279851085 x 125597
Negative: -1 x -136272745-5 x -27254549-7 x -19467535-31 x -4395895-35 x -3893507-155 x -879179-217 x -627985-1085 x -125597


How do I find the factor combinations of the number 136,272,745?

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 136,272,745, 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.

1 136,272,745
-1 -136,272,745

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 136,272,745.

Example:
1 x 136,272,745 = 136,272,745
and
-1 x -136,272,745 = 136,272,745
Notice both answers equal 136,272,745

With that explanation out of the way, let's continue. Next, we take the number 136,272,745 and divide it by 2:

136,272,745 ÷ 2 = 68,136,372.5

If the quotient is a whole number, then 2 and 68,136,372.5 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:

1 136,272,745
-1 -136,272,745

Now, we try dividing 136,272,745 by 3:

136,272,745 ÷ 3 = 45,424,248.3333

If the quotient is a whole number, then 3 and 45,424,248.3333 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:

1 136,272,745
-1 -136,272,745

Let's try dividing by 4:

136,272,745 ÷ 4 = 34,068,186.25

If the quotient is a whole number, then 4 and 34,068,186.25 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:

1 136,272,745
-1 136,272,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085125,597627,985879,1793,893,5074,395,89519,467,53527,254,549136,272,745
-1-5-7-31-35-155-217-1,085-125,597-627,985-879,179-3,893,507-4,395,895-19,467,535-27,254,549-136,272,745

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