Q: What are the factor combinations of the number 124,672,009?

 A:
Positive:   1 x 1246720097 x 1781028711 x 1133381977 x 1619117233 x 5350731631 x 764392563 x 486436949 x 17941
Negative: -1 x -124672009-7 x -17810287-11 x -11333819-77 x -1619117-233 x -535073-1631 x -76439-2563 x -48643-6949 x -17941


How do I find the factor combinations of the number 124,672,009?

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 124,672,009, 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.

1 124,672,009
-1 -124,672,009

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 124,672,009.

Example:
1 x 124,672,009 = 124,672,009
and
-1 x -124,672,009 = 124,672,009
Notice both answers equal 124,672,009

With that explanation out of the way, let's continue. Next, we take the number 124,672,009 and divide it by 2:

124,672,009 ÷ 2 = 62,336,004.5

If the quotient is a whole number, then 2 and 62,336,004.5 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:

1 124,672,009
-1 -124,672,009

Now, we try dividing 124,672,009 by 3:

124,672,009 ÷ 3 = 41,557,336.3333

If the quotient is a whole number, then 3 and 41,557,336.3333 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:

1 124,672,009
-1 -124,672,009

Let's try dividing by 4:

124,672,009 ÷ 4 = 31,168,002.25

If the quotient is a whole number, then 4 and 31,168,002.25 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:

1 124,672,009
-1 124,672,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772331,6312,5636,94917,94148,64376,439535,0731,619,11711,333,81917,810,287124,672,009
-1-7-11-77-233-1,631-2,563-6,949-17,941-48,643-76,439-535,073-1,619,117-11,333,819-17,810,287-124,672,009

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