Q: What are the factor combinations of the number 130,772,143?

 A:
Positive:   1 x 13077214317 x 769247959 x 2216477241 x 542623541 x 2417231003 x 1303814097 x 319199197 x 14219
Negative: -1 x -130772143-17 x -7692479-59 x -2216477-241 x -542623-541 x -241723-1003 x -130381-4097 x -31919-9197 x -14219


How do I find the factor combinations of the number 130,772,143?

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 130,772,143, 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.

1 130,772,143
-1 -130,772,143

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 130,772,143.

Example:
1 x 130,772,143 = 130,772,143
and
-1 x -130,772,143 = 130,772,143
Notice both answers equal 130,772,143

With that explanation out of the way, let's continue. Next, we take the number 130,772,143 and divide it by 2:

130,772,143 ÷ 2 = 65,386,071.5

If the quotient is a whole number, then 2 and 65,386,071.5 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:

1 130,772,143
-1 -130,772,143

Now, we try dividing 130,772,143 by 3:

130,772,143 ÷ 3 = 43,590,714.3333

If the quotient is a whole number, then 3 and 43,590,714.3333 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:

1 130,772,143
-1 -130,772,143

Let's try dividing by 4:

130,772,143 ÷ 4 = 32,693,035.75

If the quotient is a whole number, then 4 and 32,693,035.75 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:

1 130,772,143
-1 130,772,143
Keep dividing by the next highest number until you cannot divide anymore.

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

117592415411,0034,0979,19714,21931,919130,381241,723542,6232,216,4777,692,479130,772,143
-1-17-59-241-541-1,003-4,097-9,197-14,219-31,919-130,381-241,723-542,623-2,216,477-7,692,479-130,772,143

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