Q: What are the factor combinations of the number 142,233,773?

 A:
Positive:   1 x 14223377311 x 12930343109 x 1304897313 x 454421379 x 3752871199 x 1186273443 x 413114169 x 34117
Negative: -1 x -142233773-11 x -12930343-109 x -1304897-313 x -454421-379 x -375287-1199 x -118627-3443 x -41311-4169 x -34117


How do I find the factor combinations of the number 142,233,773?

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 142,233,773, 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.

1 142,233,773
-1 -142,233,773

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 142,233,773.

Example:
1 x 142,233,773 = 142,233,773
and
-1 x -142,233,773 = 142,233,773
Notice both answers equal 142,233,773

With that explanation out of the way, let's continue. Next, we take the number 142,233,773 and divide it by 2:

142,233,773 ÷ 2 = 71,116,886.5

If the quotient is a whole number, then 2 and 71,116,886.5 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:

1 142,233,773
-1 -142,233,773

Now, we try dividing 142,233,773 by 3:

142,233,773 ÷ 3 = 47,411,257.6667

If the quotient is a whole number, then 3 and 47,411,257.6667 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:

1 142,233,773
-1 -142,233,773

Let's try dividing by 4:

142,233,773 ÷ 4 = 35,558,443.25

If the quotient is a whole number, then 4 and 35,558,443.25 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:

1 142,233,773
-1 142,233,773
Keep dividing by the next highest number until you cannot divide anymore.

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

1111093133791,1993,4434,16934,11741,311118,627375,287454,4211,304,89712,930,343142,233,773
-1-11-109-313-379-1,199-3,443-4,169-34,117-41,311-118,627-375,287-454,421-1,304,897-12,930,343-142,233,773

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