Q: What are the factor combinations of the number 143,355,407?

 A:
Positive:   1 x 14335540713 x 1102733917 x 843267153 x 2704819221 x 648667689 x 208063901 x 15910711713 x 12239
Negative: -1 x -143355407-13 x -11027339-17 x -8432671-53 x -2704819-221 x -648667-689 x -208063-901 x -159107-11713 x -12239


How do I find the factor combinations of the number 143,355,407?

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 143,355,407, 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.

1 143,355,407
-1 -143,355,407

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 143,355,407.

Example:
1 x 143,355,407 = 143,355,407
and
-1 x -143,355,407 = 143,355,407
Notice both answers equal 143,355,407

With that explanation out of the way, let's continue. Next, we take the number 143,355,407 and divide it by 2:

143,355,407 ÷ 2 = 71,677,703.5

If the quotient is a whole number, then 2 and 71,677,703.5 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:

1 143,355,407
-1 -143,355,407

Now, we try dividing 143,355,407 by 3:

143,355,407 ÷ 3 = 47,785,135.6667

If the quotient is a whole number, then 3 and 47,785,135.6667 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:

1 143,355,407
-1 -143,355,407

Let's try dividing by 4:

143,355,407 ÷ 4 = 35,838,851.75

If the quotient is a whole number, then 4 and 35,838,851.75 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:

1 143,355,407
-1 143,355,407
Keep dividing by the next highest number until you cannot divide anymore.

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

113175322168990111,71312,239159,107208,063648,6672,704,8198,432,67111,027,339143,355,407
-1-13-17-53-221-689-901-11,713-12,239-159,107-208,063-648,667-2,704,819-8,432,671-11,027,339-143,355,407

More Examples

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