Q: What are the prime factors of the number 140,210,432?

 A: 2, 59, 9283

Why are those the prime factors of the number 140,210,432?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 140,210,432

140,210,432
Factor Arrows
270,105,216
Factor Arrows
235,052,608
Factor Arrows
217,526,304
Factor Arrows
28,763,152
Factor Arrows
24,381,576
Factor Arrows
22,190,788
Factor Arrows
21,095,394
Factor Arrows
2547,697
Factor Arrows
599,283

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 59, 9283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 9,283 = 140,210,432

This can also be written as 28 x 591 x 9,2831 = 140,210,432

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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