Q: What are the factor combinations of the number 144,677,735?

 A:
Positive:   1 x 1446777355 x 2893554717 x 851045559 x 245216585 x 1702091289 x 500615295 x 4904331003 x 1442451445 x 1001231697 x 852555015 x 288498485 x 17051
Negative: -1 x -144677735-5 x -28935547-17 x -8510455-59 x -2452165-85 x -1702091-289 x -500615-295 x -490433-1003 x -144245-1445 x -100123-1697 x -85255-5015 x -28849-8485 x -17051


How do I find the factor combinations of the number 144,677,735?

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 144,677,735, 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.

1 144,677,735
-1 -144,677,735

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 144,677,735.

Example:
1 x 144,677,735 = 144,677,735
and
-1 x -144,677,735 = 144,677,735
Notice both answers equal 144,677,735

With that explanation out of the way, let's continue. Next, we take the number 144,677,735 and divide it by 2:

144,677,735 ÷ 2 = 72,338,867.5

If the quotient is a whole number, then 2 and 72,338,867.5 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:

1 144,677,735
-1 -144,677,735

Now, we try dividing 144,677,735 by 3:

144,677,735 ÷ 3 = 48,225,911.6667

If the quotient is a whole number, then 3 and 48,225,911.6667 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:

1 144,677,735
-1 -144,677,735

Let's try dividing by 4:

144,677,735 ÷ 4 = 36,169,433.75

If the quotient is a whole number, then 4 and 36,169,433.75 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:

1 144,677,735
-1 144,677,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852892951,0031,4451,6975,0158,48517,05128,84985,255100,123144,245490,433500,6151,702,0912,452,1658,510,45528,935,547144,677,735
-1-5-17-59-85-289-295-1,003-1,445-1,697-5,015-8,485-17,051-28,849-85,255-100,123-144,245-490,433-500,615-1,702,091-2,452,165-8,510,455-28,935,547-144,677,735

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