Q: What are the factor combinations of the number 371,425,852?

 A:
Positive:   1 x 3714258522 x 1857129264 x 928564637 x 5306083614 x 2653041828 x 1326520929 x 1280778858 x 6403894116 x 3201947203 x 1829684406 x 914842812 x 457421
Negative: -1 x -371425852-2 x -185712926-4 x -92856463-7 x -53060836-14 x -26530418-28 x -13265209-29 x -12807788-58 x -6403894-116 x -3201947-203 x -1829684-406 x -914842-812 x -457421


How do I find the factor combinations of the number 371,425,852?

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 371,425,852, 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.

1 371,425,852
-1 -371,425,852

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 371,425,852.

Example:
1 x 371,425,852 = 371,425,852
and
-1 x -371,425,852 = 371,425,852
Notice both answers equal 371,425,852

With that explanation out of the way, let's continue. Next, we take the number 371,425,852 and divide it by 2:

371,425,852 ÷ 2 = 185,712,926

If the quotient is a whole number, then 2 and 185,712,926 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 185,712,926 371,425,852
-1 -2 -185,712,926 -371,425,852

Now, we try dividing 371,425,852 by 3:

371,425,852 ÷ 3 = 123,808,617.3333

If the quotient is a whole number, then 3 and 123,808,617.3333 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 2 185,712,926 371,425,852
-1 -2 -185,712,926 -371,425,852

Let's try dividing by 4:

371,425,852 ÷ 4 = 92,856,463

If the quotient is a whole number, then 4 and 92,856,463 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 92,856,463 185,712,926 371,425,852
-1 -2 -4 -92,856,463 -185,712,926 371,425,852
Keep dividing by the next highest number until you cannot divide anymore.

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

124714282958116203406812457,421914,8421,829,6843,201,9476,403,89412,807,78813,265,20926,530,41853,060,83692,856,463185,712,926371,425,852
-1-2-4-7-14-28-29-58-116-203-406-812-457,421-914,842-1,829,684-3,201,947-6,403,894-12,807,788-13,265,209-26,530,418-53,060,836-92,856,463-185,712,926-371,425,852

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