Q: What are the factor combinations of the number 21,207,745?

 A:
Positive:   1 x 212077455 x 424154913 x 163136565 x 32627383 x 255515415 x 511031079 x 196553931 x 5395
Negative: -1 x -21207745-5 x -4241549-13 x -1631365-65 x -326273-83 x -255515-415 x -51103-1079 x -19655-3931 x -5395


How do I find the factor combinations of the number 21,207,745?

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 21,207,745, 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 21,207,745
-1 -21,207,745

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 21,207,745.

Example:
1 x 21,207,745 = 21,207,745
and
-1 x -21,207,745 = 21,207,745
Notice both answers equal 21,207,745

With that explanation out of the way, let's continue. Next, we take the number 21,207,745 and divide it by 2:

21,207,745 ÷ 2 = 10,603,872.5

If the quotient is a whole number, then 2 and 10,603,872.5 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 21,207,745
-1 -21,207,745

Now, we try dividing 21,207,745 by 3:

21,207,745 ÷ 3 = 7,069,248.3333

If the quotient is a whole number, then 3 and 7,069,248.3333 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 21,207,745
-1 -21,207,745

Let's try dividing by 4:

21,207,745 ÷ 4 = 5,301,936.25

If the quotient is a whole number, then 4 and 5,301,936.25 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 21,207,745
-1 21,207,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151365834151,0793,9315,39519,65551,103255,515326,2731,631,3654,241,54921,207,745
-1-5-13-65-83-415-1,079-3,931-5,395-19,655-51,103-255,515-326,273-1,631,365-4,241,549-21,207,745

More Examples

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