Q: What are the factor combinations of the number 674,477,628?

 A:
Positive:   1 x 6744776282 x 3372388143 x 2248258764 x 1686194076 x 11241293811 x 6131614812 x 5620646922 x 3065807433 x 2043871644 x 1532903766 x 10219358132 x 51096791049 x 6429722098 x 3214863147 x 2143244196 x 1607434871 x 1384686294 x 1071629742 x 6923411539 x 5845212588 x 5358114613 x 4615619484 x 3461723078 x 29226
Negative: -1 x -674477628-2 x -337238814-3 x -224825876-4 x -168619407-6 x -112412938-11 x -61316148-12 x -56206469-22 x -30658074-33 x -20438716-44 x -15329037-66 x -10219358-132 x -5109679-1049 x -642972-2098 x -321486-3147 x -214324-4196 x -160743-4871 x -138468-6294 x -107162-9742 x -69234-11539 x -58452-12588 x -53581-14613 x -46156-19484 x -34617-23078 x -29226


How do I find the factor combinations of the number 674,477,628?

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 674,477,628, 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.

1 674,477,628
-1 -674,477,628

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 674,477,628.

Example:
1 x 674,477,628 = 674,477,628
and
-1 x -674,477,628 = 674,477,628
Notice both answers equal 674,477,628

With that explanation out of the way, let's continue. Next, we take the number 674,477,628 and divide it by 2:

674,477,628 ÷ 2 = 337,238,814

If the quotient is a whole number, then 2 and 337,238,814 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 2 337,238,814 674,477,628
-1 -2 -337,238,814 -674,477,628

Now, we try dividing 674,477,628 by 3:

674,477,628 ÷ 3 = 224,825,876

If the quotient is a whole number, then 3 and 224,825,876 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 3 224,825,876 337,238,814 674,477,628
-1 -2 -3 -224,825,876 -337,238,814 -674,477,628

Let's try dividing by 4:

674,477,628 ÷ 4 = 168,619,407

If the quotient is a whole number, then 4 and 168,619,407 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 3 4 168,619,407 224,825,876 337,238,814 674,477,628
-1 -2 -3 -4 -168,619,407 -224,825,876 -337,238,814 674,477,628
Keep dividing by the next highest number until you cannot divide anymore.

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

123461112223344661321,0492,0983,1474,1964,8716,2949,74211,53912,58814,61319,48423,07829,22634,61746,15653,58158,45269,234107,162138,468160,743214,324321,486642,9725,109,67910,219,35815,329,03720,438,71630,658,07456,206,46961,316,148112,412,938168,619,407224,825,876337,238,814674,477,628
-1-2-3-4-6-11-12-22-33-44-66-132-1,049-2,098-3,147-4,196-4,871-6,294-9,742-11,539-12,588-14,613-19,484-23,078-29,226-34,617-46,156-53,581-58,452-69,234-107,162-138,468-160,743-214,324-321,486-642,972-5,109,679-10,219,358-15,329,037-20,438,716-30,658,074-56,206,469-61,316,148-112,412,938-168,619,407-224,825,876-337,238,814-674,477,628

More Examples

Here are some more numbers to try:

674,477,626674,477,627674,477,629674,477,630
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