Q: What are the factor combinations of the number 142,431,541?

 A:
Positive:   1 x 1424315417 x 2034736373 x 1951117211 x 675031511 x 2787311321 x 1078211477 x 964339247 x 15403
Negative: -1 x -142431541-7 x -20347363-73 x -1951117-211 x -675031-511 x -278731-1321 x -107821-1477 x -96433-9247 x -15403


How do I find the factor combinations of the number 142,431,541?

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 142,431,541, 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.

1 142,431,541
-1 -142,431,541

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 142,431,541.

Example:
1 x 142,431,541 = 142,431,541
and
-1 x -142,431,541 = 142,431,541
Notice both answers equal 142,431,541

With that explanation out of the way, let's continue. Next, we take the number 142,431,541 and divide it by 2:

142,431,541 ÷ 2 = 71,215,770.5

If the quotient is a whole number, then 2 and 71,215,770.5 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:

1 142,431,541
-1 -142,431,541

Now, we try dividing 142,431,541 by 3:

142,431,541 ÷ 3 = 47,477,180.3333

If the quotient is a whole number, then 3 and 47,477,180.3333 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:

1 142,431,541
-1 -142,431,541

Let's try dividing by 4:

142,431,541 ÷ 4 = 35,607,885.25

If the quotient is a whole number, then 4 and 35,607,885.25 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:

1 142,431,541
-1 142,431,541
Keep dividing by the next highest number until you cannot divide anymore.

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

17732115111,3211,4779,24715,40396,433107,821278,731675,0311,951,11720,347,363142,431,541
-1-7-73-211-511-1,321-1,477-9,247-15,403-96,433-107,821-278,731-675,031-1,951,117-20,347,363-142,431,541

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