Q: What are the factor combinations of the number 427,321,026?

 A:
Positive:   1 x 4273210262 x 2136605133 x 1424403426 x 712201719 x 4748011411 x 3884736618 x 2374005722 x 1942368333 x 1294912266 x 647456171 x 601860699 x 4316374113 x 3781602142 x 3009303198 x 2158187213 x 2006202226 x 1890801269 x 1588554339 x 1260534426 x 1003101538 x 794277639 x 668734678 x 630267781 x 547146807 x 5295181017 x 4201781243 x 3437821278 x 3343671562 x 2735731614 x 2647592034 x 2100892343 x 1823822421 x 1765062486 x 1718912959 x 1444143729 x 1145944686 x 911914842 x 882535918 x 722077029 x 607947458 x 572978023 x 532628877 x 4813811187 x 3819814058 x 3039716046 x 2663117754 x 2406919099 x 22374
Negative: -1 x -427321026-2 x -213660513-3 x -142440342-6 x -71220171-9 x -47480114-11 x -38847366-18 x -23740057-22 x -19423683-33 x -12949122-66 x -6474561-71 x -6018606-99 x -4316374-113 x -3781602-142 x -3009303-198 x -2158187-213 x -2006202-226 x -1890801-269 x -1588554-339 x -1260534-426 x -1003101-538 x -794277-639 x -668734-678 x -630267-781 x -547146-807 x -529518-1017 x -420178-1243 x -343782-1278 x -334367-1562 x -273573-1614 x -264759-2034 x -210089-2343 x -182382-2421 x -176506-2486 x -171891-2959 x -144414-3729 x -114594-4686 x -91191-4842 x -88253-5918 x -72207-7029 x -60794-7458 x -57297-8023 x -53262-8877 x -48138-11187 x -38198-14058 x -30397-16046 x -26631-17754 x -24069-19099 x -22374


How do I find the factor combinations of the number 427,321,026?

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 427,321,026, 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.

1 427,321,026
-1 -427,321,026

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 427,321,026.

Example:
1 x 427,321,026 = 427,321,026
and
-1 x -427,321,026 = 427,321,026
Notice both answers equal 427,321,026

With that explanation out of the way, let's continue. Next, we take the number 427,321,026 and divide it by 2:

427,321,026 ÷ 2 = 213,660,513

If the quotient is a whole number, then 2 and 213,660,513 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 2 213,660,513 427,321,026
-1 -2 -213,660,513 -427,321,026

Now, we try dividing 427,321,026 by 3:

427,321,026 ÷ 3 = 142,440,342

If the quotient is a whole number, then 3 and 142,440,342 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 3 142,440,342 213,660,513 427,321,026
-1 -2 -3 -142,440,342 -213,660,513 -427,321,026

Let's try dividing by 4:

427,321,026 ÷ 4 = 106,830,256.5

If the quotient is a whole number, then 4 and 106,830,256.5 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 2 3 142,440,342 213,660,513 427,321,026
-1 -2 -3 -142,440,342 -213,660,513 427,321,026
Keep dividing by the next highest number until you cannot divide anymore.

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

12369111822336671991131421982132262693394265386396787818071,0171,2431,2781,5621,6142,0342,3432,4212,4862,9593,7294,6864,8425,9187,0297,4588,0238,87711,18714,05816,04617,75419,09922,37424,06926,63130,39738,19848,13853,26257,29760,79472,20788,25391,191114,594144,414171,891176,506182,382210,089264,759273,573334,367343,782420,178529,518547,146630,267668,734794,2771,003,1011,260,5341,588,5541,890,8012,006,2022,158,1873,009,3033,781,6024,316,3746,018,6066,474,56112,949,12219,423,68323,740,05738,847,36647,480,11471,220,171142,440,342213,660,513427,321,026
-1-2-3-6-9-11-18-22-33-66-71-99-113-142-198-213-226-269-339-426-538-639-678-781-807-1,017-1,243-1,278-1,562-1,614-2,034-2,343-2,421-2,486-2,959-3,729-4,686-4,842-5,918-7,029-7,458-8,023-8,877-11,187-14,058-16,046-17,754-19,099-22,374-24,069-26,631-30,397-38,198-48,138-53,262-57,297-60,794-72,207-88,253-91,191-114,594-144,414-171,891-176,506-182,382-210,089-264,759-273,573-334,367-343,782-420,178-529,518-547,146-630,267-668,734-794,277-1,003,101-1,260,534-1,588,554-1,890,801-2,006,202-2,158,187-3,009,303-3,781,602-4,316,374-6,018,606-6,474,561-12,949,122-19,423,683-23,740,057-38,847,366-47,480,114-71,220,171-142,440,342-213,660,513-427,321,026

More Examples

Here are some more numbers to try:

427,321,024427,321,025427,321,027427,321,028
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